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Finding the Third Proportional to 9,843,901 and 15,407,007

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Solution

The third proportional to 9,843,901 and 15,407,007 is: 24,114,003.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843,901 : 15,407,007 = 15,407,007 : x
  2. Step 2: Convert to fraction form
    9,843,901/15,407,007 = 15,407,007/x
  3. Step 3: Cross multiply
    9,843,901x = 15,407,007 × 15,407,007
  4. Step 4: Simplify right side
    9,843,901x = 237,375,864,698,049
  5. Step 5: Solve for x
    x = 237,375,864,698,049/9,843,901
  6. Step 6: Final answer
    x = 24,114,003.66

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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.