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Finding the Third Proportional to 5,696,852,867,714 and 7,686,392,108,495

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Solution

The third proportional to 5,696,852,867,714 and 7,686,392,108,495 is: 10,370,747,677,259.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696,852,867,714 : 7,686,392,108,495 = 7,686,392,108,495 : x
  2. Step 2: Convert to fraction form
    5,696,852,867,714/7,686,392,108,495 = 7,686,392,108,495/x
  3. Step 3: Cross multiply
    5,696,852,867,714x = 7,686,392,108,495 × 7,686,392,108,495
  4. Step 4: Simplify right side
    5,696,852,867,714x = 59,080,623,645,534,211,497,000,960
  5. Step 5: Solve for x
    x = 59,080,623,645,534,211,497,000,960/5,696,852,867,714
  6. Step 6: Final answer
    x = 10,370,747,677,259.52

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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.