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Finding the Third Proportional to 22,376,874 and 31,584,802.50

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Solution

The third proportional to 22,376,874 and 31,584,802.50 is: 44,581,729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,376,874 : 31,584,802.50 = 31,584,802.50 : x
  2. Step 2: Convert to fraction form
    22,376,874/31,584,802.50 = 31,584,802.50/x
  3. Step 3: Cross multiply
    22,376,874x = 31,584,802.50 × 31,584,802.50
  4. Step 4: Simplify right side
    22,376,874x = 997,599,748,964,006.25
  5. Step 5: Solve for x
    x = 997,599,748,964,006.25/22,376,874
  6. Step 6: Final answer
    x = 44,581,729.73

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.