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Finding the Third Proportional to 5,299,462.13 and 11,644,030.13

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Solution

The third proportional to 5,299,462.13 and 11,644,030.13 is: 25,584,377.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299,462.13 : 11,644,030.13 = 11,644,030.13 : x
  2. Step 2: Convert to fraction form
    5,299,462.13/11,644,030.13 = 11,644,030.13/x
  3. Step 3: Cross multiply
    5,299,462.13x = 11,644,030.13 × 11,644,030.13
  4. Step 4: Simplify right side
    5,299,462.13x = 135,583,437,551,907.52
  5. Step 5: Solve for x
    x = 135,583,437,551,907.52/5,299,462.13
  6. Step 6: Final answer
    x = 25,584,377.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.