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Finding the Third Proportional to 38,360,001 and 82,161,258

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Solution

The third proportional to 38,360,001 and 82,161,258 is: 175,976,854.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,360,001 : 82,161,258 = 82,161,258 : x
  2. Step 2: Convert to fraction form
    38,360,001/82,161,258 = 82,161,258/x
  3. Step 3: Cross multiply
    38,360,001x = 82,161,258 × 82,161,258
  4. Step 4: Simplify right side
    38,360,001x = 6,750,472,316,142,564
  5. Step 5: Solve for x
    x = 6,750,472,316,142,564/38,360,001
  6. Step 6: Final answer
    x = 175,976,854.54

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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.