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Finding the Third Proportional to 5,470,649 and 12,663,562

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Solution

The third proportional to 5,470,649 and 12,663,562 is: 29,313,853.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470,649 : 12,663,562 = 12,663,562 : x
  2. Step 2: Convert to fraction form
    5,470,649/12,663,562 = 12,663,562/x
  3. Step 3: Cross multiply
    5,470,649x = 12,663,562 × 12,663,562
  4. Step 4: Simplify right side
    5,470,649x = 160,365,802,527,844
  5. Step 5: Solve for x
    x = 160,365,802,527,844/5,470,649
  6. Step 6: Final answer
    x = 29,313,853.35

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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.