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Finding the Third Proportional to 70,661,344 and 106,345,820

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Solution

The third proportional to 70,661,344 and 106,345,820 is: 160,051,207.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,661,344 : 106,345,820 = 106,345,820 : x
  2. Step 2: Convert to fraction form
    70,661,344/106,345,820 = 106,345,820/x
  3. Step 3: Cross multiply
    70,661,344x = 106,345,820 × 106,345,820
  4. Step 4: Simplify right side
    70,661,344x = 11,309,433,431,472,400
  5. Step 5: Solve for x
    x = 11,309,433,431,472,400/70,661,344
  6. Step 6: Final answer
    x = 160,051,207.51

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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.