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Finding the Third Proportional to 31,233,372,120 and 47,581,881,961.50

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Solution

The third proportional to 31,233,372,120 and 47,581,881,961.50 is: 72,487,705,851.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,233,372,120 : 47,581,881,961.50 = 47,581,881,961.50 : x
  2. Step 2: Convert to fraction form
    31,233,372,120/47,581,881,961.50 = 47,581,881,961.50/x
  3. Step 3: Cross multiply
    31,233,372,120x = 47,581,881,961.50 × 47,581,881,961.50
  4. Step 4: Simplify right side
    31,233,372,120x = 2,264,035,490,998,119,038,976
  5. Step 5: Solve for x
    x = 2,264,035,490,998,119,038,976/31,233,372,120
  6. Step 6: Final answer
    x = 72,487,705,851.92

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.