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Finding the Third Proportional to 5,234,160 and 7,877,448

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Solution

The third proportional to 5,234,160 and 7,877,448 is: 11,855,615.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234,160 : 7,877,448 = 7,877,448 : x
  2. Step 2: Convert to fraction form
    5,234,160/7,877,448 = 7,877,448/x
  3. Step 3: Cross multiply
    5,234,160x = 7,877,448 × 7,877,448
  4. Step 4: Simplify right side
    5,234,160x = 62,054,186,992,704
  5. Step 5: Solve for x
    x = 62,054,186,992,704/5,234,160
  6. Step 6: Final answer
    x = 11,855,615.23

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