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Finding the Third Proportional to 4,499,571,100 and 9,791,248,564

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Solution

The third proportional to 4,499,571,100 and 9,791,248,564 is: 21,306,152,589.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,499,571,100 : 9,791,248,564 = 9,791,248,564 : x
  2. Step 2: Convert to fraction form
    4,499,571,100/9,791,248,564 = 9,791,248,564/x
  3. Step 3: Cross multiply
    4,499,571,100x = 9,791,248,564 × 9,791,248,564
  4. Step 4: Simplify right side
    4,499,571,100x = 95,868,548,442,032,062,464
  5. Step 5: Solve for x
    x = 95,868,548,442,032,062,464/4,499,571,100
  6. Step 6: Final answer
    x = 21,306,152,589.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.