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Finding the Third Proportional to 77,264,940 and 165,746,144

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Solution

The third proportional to 77,264,940 and 165,746,144 is: 355,553,039.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,264,940 : 165,746,144 = 165,746,144 : x
  2. Step 2: Convert to fraction form
    77,264,940/165,746,144 = 165,746,144/x
  3. Step 3: Cross multiply
    77,264,940x = 165,746,144 × 165,746,144
  4. Step 4: Simplify right side
    77,264,940x = 27,471,784,250,868,736
  5. Step 5: Solve for x
    x = 27,471,784,250,868,736/77,264,940
  6. Step 6: Final answer
    x = 355,553,039.33

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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.