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Finding the Third Proportional to 9,781,399,008 and 21,484,380,382

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Solution

The third proportional to 9,781,399,008 and 21,484,380,382 is: 47,189,425,563.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781,399,008 : 21,484,380,382 = 21,484,380,382 : x
  2. Step 2: Convert to fraction form
    9,781,399,008/21,484,380,382 = 21,484,380,382/x
  3. Step 3: Cross multiply
    9,781,399,008x = 21,484,380,382 × 21,484,380,382
  4. Step 4: Simplify right side
    9,781,399,008x = 461,578,600,398,466,449,408
  5. Step 5: Solve for x
    x = 461,578,600,398,466,449,408/9,781,399,008
  6. Step 6: Final answer
    x = 47,189,425,563.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.