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Finding the Third Proportional to 46,377,651 and 100,746,630

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Solution

The third proportional to 46,377,651 and 100,746,630 is: 218,852,900.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,377,651 : 100,746,630 = 100,746,630 : x
  2. Step 2: Convert to fraction form
    46,377,651/100,746,630 = 100,746,630/x
  3. Step 3: Cross multiply
    46,377,651x = 100,746,630 × 100,746,630
  4. Step 4: Simplify right side
    46,377,651x = 10,149,883,456,356,900
  5. Step 5: Solve for x
    x = 10,149,883,456,356,900/46,377,651
  6. Step 6: Final answer
    x = 218,852,900.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.