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Finding the Third Proportional to 35,658,948,414 and 77,725,129,438.50

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Solution

The third proportional to 35,658,948,414 and 77,725,129,438.50 is: 169,415,981,539.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,658,948,414 : 77,725,129,438.50 = 77,725,129,438.50 : x
  2. Step 2: Convert to fraction form
    35,658,948,414/77,725,129,438.50 = 77,725,129,438.50/x
  3. Step 3: Cross multiply
    35,658,948,414x = 77,725,129,438.50 × 77,725,129,438.50
  4. Step 4: Simplify right side
    35,658,948,414x = 6,041,195,746,231,579,574,272
  5. Step 5: Solve for x
    x = 6,041,195,746,231,579,574,272/35,658,948,414
  6. Step 6: Final answer
    x = 169,415,981,539.71

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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.