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Finding the Third Proportional to 5,696,852,867,722 and 7,686,392,108,502

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Solution

The third proportional to 5,696,852,867,722 and 7,686,392,108,502 is: 10,370,747,677,263.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696,852,867,722 : 7,686,392,108,502 = 7,686,392,108,502 : x
  2. Step 2: Convert to fraction form
    5,696,852,867,722/7,686,392,108,502 = 7,686,392,108,502/x
  3. Step 3: Cross multiply
    5,696,852,867,722x = 7,686,392,108,502 × 7,686,392,108,502
  4. Step 4: Simplify right side
    5,696,852,867,722x = 59,080,623,645,641,817,607,634,944
  5. Step 5: Solve for x
    x = 59,080,623,645,641,817,607,634,944/5,696,852,867,722
  6. Step 6: Final answer
    x = 10,370,747,677,263.85

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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.