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Finding the Third Proportional to 77,048,607 and 160,474,542

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Solution

The third proportional to 77,048,607 and 160,474,542 is: 334,231,592.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,048,607 : 160,474,542 = 160,474,542 : x
  2. Step 2: Convert to fraction form
    77,048,607/160,474,542 = 160,474,542/x
  3. Step 3: Cross multiply
    77,048,607x = 160,474,542 × 160,474,542
  4. Step 4: Simplify right side
    77,048,607x = 25,752,078,630,109,764
  5. Step 5: Solve for x
    x = 25,752,078,630,109,764/77,048,607
  6. Step 6: Final answer
    x = 334,231,592.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.