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Finding the Third Proportional to 4,009,394 and 8,412,448

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Solution

The third proportional to 4,009,394 and 8,412,448 is: 17,650,867.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009,394 : 8,412,448 = 8,412,448 : x
  2. Step 2: Convert to fraction form
    4,009,394/8,412,448 = 8,412,448/x
  3. Step 3: Cross multiply
    4,009,394x = 8,412,448 × 8,412,448
  4. Step 4: Simplify right side
    4,009,394x = 70,769,281,352,704
  5. Step 5: Solve for x
    x = 70,769,281,352,704/4,009,394
  6. Step 6: Final answer
    x = 17,650,867.28

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.