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Finding the Third Proportional to 9,429,814.13 and 14,415,364.13

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Solution

The third proportional to 9,429,814.13 and 14,415,364.13 is: 22,036,778.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429,814.13 : 14,415,364.13 = 14,415,364.13 : x
  2. Step 2: Convert to fraction form
    9,429,814.13/14,415,364.13 = 14,415,364.13/x
  3. Step 3: Cross multiply
    9,429,814.13x = 14,415,364.13 × 14,415,364.13
  4. Step 4: Simplify right side
    9,429,814.13x = 207,802,722,856,337
  5. Step 5: Solve for x
    x = 207,802,722,856,337/9,429,814.13
  6. Step 6: Final answer
    x = 22,036,778.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.