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Finding the Third Proportional to 13,793,967 and 32,516,229

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Solution

The third proportional to 13,793,967 and 32,516,229 is: 76,649,824.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793,967 : 32,516,229 = 32,516,229 : x
  2. Step 2: Convert to fraction form
    13,793,967/32,516,229 = 32,516,229/x
  3. Step 3: Cross multiply
    13,793,967x = 32,516,229 × 32,516,229
  4. Step 4: Simplify right side
    13,793,967x = 1,057,305,148,380,441
  5. Step 5: Solve for x
    x = 1,057,305,148,380,441/13,793,967
  6. Step 6: Final answer
    x = 76,649,824.40

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.