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Finding the Third Proportional to 456,338,920 and 996,300,920

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Solution

The third proportional to 456,338,920 and 996,300,920 is: 2,175,171,741.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,338,920 : 996,300,920 = 996,300,920 : x
  2. Step 2: Convert to fraction form
    456,338,920/996,300,920 = 996,300,920/x
  3. Step 3: Cross multiply
    456,338,920x = 996,300,920 × 996,300,920
  4. Step 4: Simplify right side
    456,338,920x = 992,615,523,192,846,336
  5. Step 5: Solve for x
    x = 992,615,523,192,846,336/456,338,920
  6. Step 6: Final answer
    x = 2,175,171,741.20

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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.