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Finding the Third Proportional to 2,177,872,200 and 3,347,545,644

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Solution

The third proportional to 2,177,872,200 and 3,347,545,644 is: 5,145,417,549.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177,872,200 : 3,347,545,644 = 3,347,545,644 : x
  2. Step 2: Convert to fraction form
    2,177,872,200/3,347,545,644 = 3,347,545,644/x
  3. Step 3: Cross multiply
    2,177,872,200x = 3,347,545,644 × 3,347,545,644
  4. Step 4: Simplify right side
    2,177,872,200x = 11,206,061,838,663,374,848
  5. Step 5: Solve for x
    x = 11,206,061,838,663,374,848/2,177,872,200
  6. Step 6: Final answer
    x = 5,145,417,549.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.