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Finding the Third Proportional to 226,218,645 and 492,746,778

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Solution

The third proportional to 226,218,645 and 492,746,778 is: 1,073,295,206.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,218,645 : 492,746,778 = 492,746,778 : x
  2. Step 2: Convert to fraction form
    226,218,645/492,746,778 = 492,746,778/x
  3. Step 3: Cross multiply
    226,218,645x = 492,746,778 × 492,746,778
  4. Step 4: Simplify right side
    226,218,645x = 242,799,387,229,381,280
  5. Step 5: Solve for x
    x = 242,799,387,229,381,280/226,218,645
  6. Step 6: Final answer
    x = 1,073,295,206.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.