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Finding the Third Proportional to 301,664,214 and 647,972,766

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Solution

The third proportional to 301,664,214 and 647,972,766 is: 1,391,841,279.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,664,214 : 647,972,766 = 647,972,766 : x
  2. Step 2: Convert to fraction form
    301,664,214/647,972,766 = 647,972,766/x
  3. Step 3: Cross multiply
    301,664,214x = 647,972,766 × 647,972,766
  4. Step 4: Simplify right side
    301,664,214x = 419,868,705,477,690,752
  5. Step 5: Solve for x
    x = 419,868,705,477,690,752/301,664,214
  6. Step 6: Final answer
    x = 1,391,841,279.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.