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Finding the Third Proportional to 31,840,136 and 48,026,532

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Solution

The third proportional to 31,840,136 and 48,026,532 is: 72,441,517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,840,136 : 48,026,532 = 48,026,532 : x
  2. Step 2: Convert to fraction form
    31,840,136/48,026,532 = 48,026,532/x
  3. Step 3: Cross multiply
    31,840,136x = 48,026,532 × 48,026,532
  4. Step 4: Simplify right side
    31,840,136x = 2,306,547,775,947,024
  5. Step 5: Solve for x
    x = 2,306,547,775,947,024/31,840,136
  6. Step 6: Final answer
    x = 72,441,517.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.