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Finding the Third Proportional to 9,405,708.19 and 14,536,581.47

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Solution

The third proportional to 9,405,708.19 and 14,536,581.47 is: 22,466,378.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405,708.19 : 14,536,581.47 = 14,536,581.47 : x
  2. Step 2: Convert to fraction form
    9,405,708.19/14,536,581.47 = 14,536,581.47/x
  3. Step 3: Cross multiply
    9,405,708.19x = 14,536,581.47 × 14,536,581.47
  4. Step 4: Simplify right side
    9,405,708.19x = 211,312,200,797,605.91
  5. Step 5: Solve for x
    x = 211,312,200,797,605.91/9,405,708.19
  6. Step 6: Final answer
    x = 22,466,378.56

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.