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Finding the Third Proportional to 36,422,073 and 75,412,777.50

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Solution

The third proportional to 36,422,073 and 75,412,777.50 is: 156,143,968.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,422,073 : 75,412,777.50 = 75,412,777.50 : x
  2. Step 2: Convert to fraction form
    36,422,073/75,412,777.50 = 75,412,777.50/x
  3. Step 3: Cross multiply
    36,422,073x = 75,412,777.50 × 75,412,777.50
  4. Step 4: Simplify right side
    36,422,073x = 5,687,087,010,264,506
  5. Step 5: Solve for x
    x = 5,687,087,010,264,506/36,422,073
  6. Step 6: Final answer
    x = 156,143,968.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.