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Finding the Third Proportional to 9,482,869.13 and 14,119,327.69

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Solution

The third proportional to 9,482,869.13 and 14,119,327.69 is: 21,022,689.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482,869.13 : 14,119,327.69 = 14,119,327.69 : x
  2. Step 2: Convert to fraction form
    9,482,869.13/14,119,327.69 = 14,119,327.69/x
  3. Step 3: Cross multiply
    9,482,869.13x = 14,119,327.69 × 14,119,327.69
  4. Step 4: Simplify right side
    9,482,869.13x = 199,355,414,347,004.09
  5. Step 5: Solve for x
    x = 199,355,414,347,004.09/9,482,869.13
  6. Step 6: Final answer
    x = 21,022,689.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.