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Finding the Third Proportional to 52,982,178,851.81 and 81,437,407,517.81

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Solution

The third proportional to 52,982,178,851.81 and 81,437,407,517.81 is: 125,175,134,110.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,982,178,851.81 : 81,437,407,517.81 = 81,437,407,517.81 : x
  2. Step 2: Convert to fraction form
    52,982,178,851.81/81,437,407,517.81 = 81,437,407,517.81/x
  3. Step 3: Cross multiply
    52,982,178,851.81x = 81,437,407,517.81 × 81,437,407,517.81
  4. Step 4: Simplify right side
    52,982,178,851.81x = 6,632,051,343,221,856,403,456
  5. Step 5: Solve for x
    x = 6,632,051,343,221,856,403,456/52,982,178,851.81
  6. Step 6: Final answer
    x = 125,175,134,110.12

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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.