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Finding the Third Proportional to 10,281,178.13 and 21,882,711.94

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Solution

The third proportional to 10,281,178.13 and 21,882,711.94 is: 46,575,701.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281,178.13 : 21,882,711.94 = 21,882,711.94 : x
  2. Step 2: Convert to fraction form
    10,281,178.13/21,882,711.94 = 21,882,711.94/x
  3. Step 3: Cross multiply
    10,281,178.13x = 21,882,711.94 × 21,882,711.94
  4. Step 4: Simplify right side
    10,281,178.13x = 478,853,081,739,605
  5. Step 5: Solve for x
    x = 478,853,081,739,605/10,281,178.13
  6. Step 6: Final answer
    x = 46,575,701.34

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.