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Finding the Third Proportional to 9,464,931 and 15,453,747

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Solution

The third proportional to 9,464,931 and 15,453,747 is: 25,231,910.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464,931 : 15,453,747 = 15,453,747 : x
  2. Step 2: Convert to fraction form
    9,464,931/15,453,747 = 15,453,747/x
  3. Step 3: Cross multiply
    9,464,931x = 15,453,747 × 15,453,747
  4. Step 4: Simplify right side
    9,464,931x = 238,818,296,340,009
  5. Step 5: Solve for x
    x = 238,818,296,340,009/9,464,931
  6. Step 6: Final answer
    x = 25,231,910.97

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.