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Finding the Third Proportional to 667,580,223 and 1,354,026,534

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Solution

The third proportional to 667,580,223 and 1,354,026,534 is: 2,746,318,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,580,223 : 1,354,026,534 = 1,354,026,534 : x
  2. Step 2: Convert to fraction form
    667,580,223/1,354,026,534 = 1,354,026,534/x
  3. Step 3: Cross multiply
    667,580,223x = 1,354,026,534 × 1,354,026,534
  4. Step 4: Simplify right side
    667,580,223x = 1,833,387,854,776,053,248
  5. Step 5: Solve for x
    x = 1,833,387,854,776,053,248/667,580,223
  6. Step 6: Final answer
    x = 2,746,318,407.30

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.