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Finding the Third Proportional to 3,732,248,724.75 and 8,018,373,242.25

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Solution

The third proportional to 3,732,248,724.75 and 8,018,373,242.25 is: 17,226,694,733.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,732,248,724.75 : 8,018,373,242.25 = 8,018,373,242.25 : x
  2. Step 2: Convert to fraction form
    3,732,248,724.75/8,018,373,242.25 = 8,018,373,242.25/x
  3. Step 3: Cross multiply
    3,732,248,724.75x = 8,018,373,242.25 × 8,018,373,242.25
  4. Step 4: Simplify right side
    3,732,248,724.75x = 64,294,309,452,030,779,392
  5. Step 5: Solve for x
    x = 64,294,309,452,030,779,392/3,732,248,724.75
  6. Step 6: Final answer
    x = 17,226,694,733.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.