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Finding the Third Proportional to 2,156,404,644 and 3,153,736,422

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Solution

The third proportional to 2,156,404,644 and 3,153,736,422 is: 4,612,331,663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156,404,644 : 3,153,736,422 = 3,153,736,422 : x
  2. Step 2: Convert to fraction form
    2,156,404,644/3,153,736,422 = 3,153,736,422/x
  3. Step 3: Cross multiply
    2,156,404,644x = 3,153,736,422 × 3,153,736,422
  4. Step 4: Simplify right side
    2,156,404,644x = 9,946,053,419,449,362,432
  5. Step 5: Solve for x
    x = 9,946,053,419,449,362,432/2,156,404,644
  6. Step 6: Final answer
    x = 4,612,331,663.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.