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Finding the Third Proportional to 8,856,262.13 and 14,461,478.44

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Solution

The third proportional to 8,856,262.13 and 14,461,478.44 is: 23,614,291.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,856,262.13 : 14,461,478.44 = 14,461,478.44 : x
  2. Step 2: Convert to fraction form
    8,856,262.13/14,461,478.44 = 14,461,478.44/x
  3. Step 3: Cross multiply
    8,856,262.13x = 14,461,478.44 × 14,461,478.44
  4. Step 4: Simplify right side
    8,856,262.13x = 209,134,358,598,277.44
  5. Step 5: Solve for x
    x = 209,134,358,598,277.44/8,856,262.13
  6. Step 6: Final answer
    x = 23,614,291.86

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.