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Finding the Third Proportional to 7,570,816 and 11,446,552

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Solution

The third proportional to 7,570,816 and 11,446,552 is: 17,306,397.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570,816 : 11,446,552 = 11,446,552 : x
  2. Step 2: Convert to fraction form
    7,570,816/11,446,552 = 11,446,552/x
  3. Step 3: Cross multiply
    7,570,816x = 11,446,552 × 11,446,552
  4. Step 4: Simplify right side
    7,570,816x = 131,023,552,688,704
  5. Step 5: Solve for x
    x = 131,023,552,688,704/7,570,816
  6. Step 6: Final answer
    x = 17,306,397.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.