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Finding the Third Proportional to 52,982,178,908 and 81,437,407,612

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Solution

The third proportional to 52,982,178,908 and 81,437,407,612 is: 125,175,134,266.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,982,178,908 : 81,437,407,612 = 81,437,407,612 : x
  2. Step 2: Convert to fraction form
    52,982,178,908/81,437,407,612 = 81,437,407,612/x
  3. Step 3: Cross multiply
    52,982,178,908x = 81,437,407,612 × 81,437,407,612
  4. Step 4: Simplify right side
    52,982,178,908x = 6,632,051,358,563,036,037,120
  5. Step 5: Solve for x
    x = 6,632,051,358,563,036,037,120/52,982,178,908
  6. Step 6: Final answer
    x = 125,175,134,266.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.