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Finding the Third Proportional to 38,580,746 and 83,218,900

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Solution

The third proportional to 38,580,746 and 83,218,900 is: 179,503,665.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,580,746 : 83,218,900 = 83,218,900 : x
  2. Step 2: Convert to fraction form
    38,580,746/83,218,900 = 83,218,900/x
  3. Step 3: Cross multiply
    38,580,746x = 83,218,900 × 83,218,900
  4. Step 4: Simplify right side
    38,580,746x = 6,925,385,317,210,000
  5. Step 5: Solve for x
    x = 6,925,385,317,210,000/38,580,746
  6. Step 6: Final answer
    x = 179,503,665.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.