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Finding the Third Proportional to 31,233,372,117 and 47,581,881,957.19

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Solution

The third proportional to 31,233,372,117 and 47,581,881,957.19 is: 72,487,705,845.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,233,372,117 : 47,581,881,957.19 = 47,581,881,957.19 : x
  2. Step 2: Convert to fraction form
    31,233,372,117/47,581,881,957.19 = 47,581,881,957.19/x
  3. Step 3: Cross multiply
    31,233,372,117x = 47,581,881,957.19 × 47,581,881,957.19
  4. Step 4: Simplify right side
    31,233,372,117x = 2,264,035,490,587,773,239,296
  5. Step 5: Solve for x
    x = 2,264,035,490,587,773,239,296/31,233,372,117
  6. Step 6: Final answer
    x = 72,487,705,845.74

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Why These Related Problems?

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