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Finding the Third Proportional to 67,957,764 and 146,734,536

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Solution

The third proportional to 67,957,764 and 146,734,536 is: 316,829,495.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,957,764 : 146,734,536 = 146,734,536 : x
  2. Step 2: Convert to fraction form
    67,957,764/146,734,536 = 146,734,536/x
  3. Step 3: Cross multiply
    67,957,764x = 146,734,536 × 146,734,536
  4. Step 4: Simplify right side
    67,957,764x = 21,531,024,055,135,296
  5. Step 5: Solve for x
    x = 21,531,024,055,135,296/67,957,764
  6. Step 6: Final answer
    x = 316,829,495.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.