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Finding the Third Proportional to 29,315,718 and 64,412,756

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Solution

The third proportional to 29,315,718 and 64,412,756 is: 141,528,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,315,718 : 64,412,756 = 64,412,756 : x
  2. Step 2: Convert to fraction form
    29,315,718/64,412,756 = 64,412,756/x
  3. Step 3: Cross multiply
    29,315,718x = 64,412,756 × 64,412,756
  4. Step 4: Simplify right side
    29,315,718x = 4,149,003,135,515,536
  5. Step 5: Solve for x
    x = 4,149,003,135,515,536/29,315,718
  6. Step 6: Final answer
    x = 141,528,279.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.