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Finding the Third Proportional to 2,557,909.13 and 5,470,248.94

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Solution

The third proportional to 2,557,909.13 and 5,470,248.94 is: 11,698,470.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557,909.13 : 5,470,248.94 = 5,470,248.94 : x
  2. Step 2: Convert to fraction form
    2,557,909.13/5,470,248.94 = 5,470,248.94/x
  3. Step 3: Cross multiply
    2,557,909.13x = 5,470,248.94 × 5,470,248.94
  4. Step 4: Simplify right side
    2,557,909.13x = 29,923,623,438,219.88
  5. Step 5: Solve for x
    x = 29,923,623,438,219.88/2,557,909.13
  6. Step 6: Final answer
    x = 11,698,470.11

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.