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Finding the Third Proportional to 2,177,872,648 and 3,347,546,320

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Solution

The third proportional to 2,177,872,648 and 3,347,546,320 is: 5,145,418,569.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177,872,648 : 3,347,546,320 = 3,347,546,320 : x
  2. Step 2: Convert to fraction form
    2,177,872,648/3,347,546,320 = 3,347,546,320/x
  3. Step 3: Cross multiply
    2,177,872,648x = 3,347,546,320 × 3,347,546,320
  4. Step 4: Simplify right side
    2,177,872,648x = 11,206,066,364,545,542,144
  5. Step 5: Solve for x
    x = 11,206,066,364,545,542,144/2,177,872,648
  6. Step 6: Final answer
    x = 5,145,418,569.28

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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.