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Finding the Third Proportional to 38,209,114 and 83,924,560

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Solution

The third proportional to 38,209,114 and 83,924,560 is: 184,336,432.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,209,114 : 83,924,560 = 83,924,560 : x
  2. Step 2: Convert to fraction form
    38,209,114/83,924,560 = 83,924,560/x
  3. Step 3: Cross multiply
    38,209,114x = 83,924,560 × 83,924,560
  4. Step 4: Simplify right side
    38,209,114x = 7,043,331,771,193,600
  5. Step 5: Solve for x
    x = 7,043,331,771,193,600/38,209,114
  6. Step 6: Final answer
    x = 184,336,432.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.