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Finding the Third Proportional to 10,426,855.13 and 22,707,364.13

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Solution

The third proportional to 10,426,855.13 and 22,707,364.13 is: 49,451,572.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,426,855.13 : 22,707,364.13 = 22,707,364.13 : x
  2. Step 2: Convert to fraction form
    10,426,855.13/22,707,364.13 = 22,707,364.13/x
  3. Step 3: Cross multiply
    10,426,855.13x = 22,707,364.13 × 22,707,364.13
  4. Step 4: Simplify right side
    10,426,855.13x = 515,624,385,505,337
  5. Step 5: Solve for x
    x = 515,624,385,505,337/10,426,855.13
  6. Step 6: Final answer
    x = 49,451,572.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.