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Finding the Third Proportional to 52,028,864,478 and 82,788,151,431

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Solution

The third proportional to 52,028,864,478 and 82,788,151,431 is: 131,732,223,759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,028,864,478 : 82,788,151,431 = 82,788,151,431 : x
  2. Step 2: Convert to fraction form
    52,028,864,478/82,788,151,431 = 82,788,151,431/x
  3. Step 3: Cross multiply
    52,028,864,478x = 82,788,151,431 × 82,788,151,431
  4. Step 4: Simplify right side
    52,028,864,478x = 6,853,878,017,362,187,255,808
  5. Step 5: Solve for x
    x = 6,853,878,017,362,187,255,808/52,028,864,478
  6. Step 6: Final answer
    x = 131,732,223,759.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.