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Finding the Third Proportional to 9,902,491.13 and 21,269,214.38

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Solution

The third proportional to 9,902,491.13 and 21,269,214.38 is: 45,683,401.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902,491.13 : 21,269,214.38 = 21,269,214.38 : x
  2. Step 2: Convert to fraction form
    9,902,491.13/21,269,214.38 = 21,269,214.38/x
  3. Step 3: Cross multiply
    9,902,491.13x = 21,269,214.38 × 21,269,214.38
  4. Step 4: Simplify right side
    9,902,491.13x = 452,379,480,129,706.62
  5. Step 5: Solve for x
    x = 452,379,480,129,706.62/9,902,491.13
  6. Step 6: Final answer
    x = 45,683,401.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.