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Finding the Third Proportional to 32,656,569,295,468 and 69,971,152,254,376

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Solution

The third proportional to 32,656,569,295,468 and 69,971,152,254,376 is: 149,922,733,876,534.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,656,569,295,468 : 69,971,152,254,376 = 69,971,152,254,376 : x
  2. Step 2: Convert to fraction form
    32,656,569,295,468/69,971,152,254,376 = 69,971,152,254,376/x
  3. Step 3: Cross multiply
    32,656,569,295,468x = 69,971,152,254,376 × 69,971,152,254,376
  4. Step 4: Simplify right side
    32,656,569,295,468x = 4,895,962,147,805,067,425,234,288,640
  5. Step 5: Solve for x
    x = 4,895,962,147,805,067,425,234,288,640/32,656,569,295,468
  6. Step 6: Final answer
    x = 149,922,733,876,534.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.