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Finding the Third Proportional to 22,432,149 and 47,973,118

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Solution

The third proportional to 22,432,149 and 47,973,118 is: 102,594,720.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,432,149 : 47,973,118 = 47,973,118 : x
  2. Step 2: Convert to fraction form
    22,432,149/47,973,118 = 47,973,118/x
  3. Step 3: Cross multiply
    22,432,149x = 47,973,118 × 47,973,118
  4. Step 4: Simplify right side
    22,432,149x = 2,301,420,050,641,924
  5. Step 5: Solve for x
    x = 2,301,420,050,641,924/22,432,149
  6. Step 6: Final answer
    x = 102,594,720.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.