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Finding the Third Proportional to 351,346,209 and 763,175,442

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Solution

The third proportional to 351,346,209 and 763,175,442 is: 1,657,728,873.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,346,209 : 763,175,442 = 763,175,442 : x
  2. Step 2: Convert to fraction form
    351,346,209/763,175,442 = 763,175,442/x
  3. Step 3: Cross multiply
    351,346,209x = 763,175,442 × 763,175,442
  4. Step 4: Simplify right side
    351,346,209x = 582,436,755,271,895,424
  5. Step 5: Solve for x
    x = 582,436,755,271,895,424/351,346,209
  6. Step 6: Final answer
    x = 1,657,728,873.55

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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.