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Finding the Third Proportional to 5,470,677 and 12,663,639

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Solution

The third proportional to 5,470,677 and 12,663,639 is: 29,314,059.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470,677 : 12,663,639 = 12,663,639 : x
  2. Step 2: Convert to fraction form
    5,470,677/12,663,639 = 12,663,639/x
  3. Step 3: Cross multiply
    5,470,677x = 12,663,639 × 12,663,639
  4. Step 4: Simplify right side
    5,470,677x = 160,367,752,722,321
  5. Step 5: Solve for x
    x = 160,367,752,722,321/5,470,677
  6. Step 6: Final answer
    x = 29,314,059.80

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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.