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Finding the Third Proportional to 5,470,704 and 12,663,705

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Solution

The third proportional to 5,470,704 and 12,663,705 is: 29,314,220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,470,704 : 12,663,705 = 12,663,705 : x
  2. Step 2: Convert to fraction form
    5,470,704/12,663,705 = 12,663,705/x
  3. Step 3: Cross multiply
    5,470,704x = 12,663,705 × 12,663,705
  4. Step 4: Simplify right side
    5,470,704x = 160,369,424,327,025
  5. Step 5: Solve for x
    x = 160,369,424,327,025/5,470,704
  6. Step 6: Final answer
    x = 29,314,220.68

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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.