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Finding the Third Proportional to 31,566,180,561 and 68,689,280,490

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Solution

The third proportional to 31,566,180,561 and 68,689,280,490 is: 149,470,641,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,566,180,561 : 68,689,280,490 = 68,689,280,490 : x
  2. Step 2: Convert to fraction form
    31,566,180,561/68,689,280,490 = 68,689,280,490/x
  3. Step 3: Cross multiply
    31,566,180,561x = 68,689,280,490 × 68,689,280,490
  4. Step 4: Simplify right side
    31,566,180,561x = 4,718,217,254,233,894,813,696
  5. Step 5: Solve for x
    x = 4,718,217,254,233,894,813,696/31,566,180,561
  6. Step 6: Final answer
    x = 149,470,641,375.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.