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Finding the Third Proportional to 9,843,724.50 and 15,406,743

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Solution

The third proportional to 9,843,724.50 and 15,406,743 is: 24,113,609.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843,724.50 : 15,406,743 = 15,406,743 : x
  2. Step 2: Convert to fraction form
    9,843,724.50/15,406,743 = 15,406,743/x
  3. Step 3: Cross multiply
    9,843,724.50x = 15,406,743 × 15,406,743
  4. Step 4: Simplify right side
    9,843,724.50x = 237,367,729,868,049
  5. Step 5: Solve for x
    x = 237,367,729,868,049/9,843,724.50
  6. Step 6: Final answer
    x = 24,113,609.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.