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Finding the Third Proportional to 83,724,924,534 and 128,691,211,761

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Solution

The third proportional to 83,724,924,534 and 128,691,211,761 is: 197,807,619,137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,724,924,534 : 128,691,211,761 = 128,691,211,761 : x
  2. Step 2: Convert to fraction form
    83,724,924,534/128,691,211,761 = 128,691,211,761/x
  3. Step 3: Cross multiply
    83,724,924,534x = 128,691,211,761 × 128,691,211,761
  4. Step 4: Simplify right side
    83,724,924,534x = 16,561,427,984,514,545,614,848
  5. Step 5: Solve for x
    x = 16,561,427,984,514,545,614,848/83,724,924,534
  6. Step 6: Final answer
    x = 197,807,619,137.23

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