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Finding the Third Proportional to 5,178,919.13 and 7,840,354.88

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Solution

The third proportional to 5,178,919.13 and 7,840,354.88 is: 11,869,496.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178,919.13 : 7,840,354.88 = 7,840,354.88 : x
  2. Step 2: Convert to fraction form
    5,178,919.13/7,840,354.88 = 7,840,354.88/x
  3. Step 3: Cross multiply
    5,178,919.13x = 7,840,354.88 × 7,840,354.88
  4. Step 4: Simplify right side
    5,178,919.13x = 61,471,164,565,936.27
  5. Step 5: Solve for x
    x = 61,471,164,565,936.27/5,178,919.13
  6. Step 6: Final answer
    x = 11,869,496.91

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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.