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Finding the Third Proportional to 65,888,799,034 and 92,785,948,101

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Solution

The third proportional to 65,888,799,034 and 92,785,948,101 is: 130,663,060,963.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,888,799,034 : 92,785,948,101 = 92,785,948,101 : x
  2. Step 2: Convert to fraction form
    65,888,799,034/92,785,948,101 = 92,785,948,101/x
  3. Step 3: Cross multiply
    65,888,799,034x = 92,785,948,101 × 92,785,948,101
  4. Step 4: Simplify right side
    65,888,799,034x = 8,609,232,165,001,465,167,872
  5. Step 5: Solve for x
    x = 8,609,232,165,001,465,167,872/65,888,799,034
  6. Step 6: Final answer
    x = 130,663,060,963.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.