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Finding the Third Proportional to 5,470,650 and 12,663,564

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Solution

The third proportional to 5,470,650 and 12,663,564 is: 29,313,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470,650 : 12,663,564 = 12,663,564 : x
  2. Step 2: Convert to fraction form
    5,470,650/12,663,564 = 12,663,564/x
  3. Step 3: Cross multiply
    5,470,650x = 12,663,564 × 12,663,564
  4. Step 4: Simplify right side
    5,470,650x = 160,365,853,182,096
  5. Step 5: Solve for x
    x = 160,365,853,182,096/5,470,650
  6. Step 6: Final answer
    x = 29,313,857.25

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.