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Finding the Third Proportional to 2,156,404,642 and 3,153,736,419

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Solution

The third proportional to 2,156,404,642 and 3,153,736,419 is: 4,612,331,659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156,404,642 : 3,153,736,419 = 3,153,736,419 : x
  2. Step 2: Convert to fraction form
    2,156,404,642/3,153,736,419 = 3,153,736,419/x
  3. Step 3: Cross multiply
    2,156,404,642x = 3,153,736,419 × 3,153,736,419
  4. Step 4: Simplify right side
    2,156,404,642x = 9,946,053,400,526,944,256
  5. Step 5: Solve for x
    x = 9,946,053,400,526,944,256/2,156,404,642
  6. Step 6: Final answer
    x = 4,612,331,659.29

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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.