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Finding the Third Proportional to 24,000,921 and 38,127,145.50

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Solution

The third proportional to 24,000,921 and 38,127,145.50 is: 60,567,643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,000,921 : 38,127,145.50 = 38,127,145.50 : x
  2. Step 2: Convert to fraction form
    24,000,921/38,127,145.50 = 38,127,145.50/x
  3. Step 3: Cross multiply
    24,000,921x = 38,127,145.50 × 38,127,145.50
  4. Step 4: Simplify right side
    24,000,921x = 1,453,679,223,978,170.25
  5. Step 5: Solve for x
    x = 1,453,679,223,978,170.25/24,000,921
  6. Step 6: Final answer
    x = 60,567,643.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.