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Finding the Third Proportional to 5,696,852,867,701.80 and 7,686,392,108,476.80

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Solution

The third proportional to 5,696,852,867,701.80 and 7,686,392,108,476.80 is: 10,370,747,677,232.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696,852,867,701.80 : 7,686,392,108,476.80 = 7,686,392,108,476.80 : x
  2. Step 2: Convert to fraction form
    5,696,852,867,701.80/7,686,392,108,476.80 = 7,686,392,108,476.80/x
  3. Step 3: Cross multiply
    5,696,852,867,701.80x = 7,686,392,108,476.80 × 7,686,392,108,476.80
  4. Step 4: Simplify right side
    5,696,852,867,701.80x = 59,080,623,645,254,420,147,470,336
  5. Step 5: Solve for x
    x = 59,080,623,645,254,420,147,470,336/5,696,852,867,701.80
  6. Step 6: Final answer
    x = 10,370,747,677,232.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.