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Finding the Third Proportional to 1,354,005,638 and 2,948,387,392

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Solution

The third proportional to 1,354,005,638 and 2,948,387,392 is: 6,420,200,898.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354,005,638 : 2,948,387,392 = 2,948,387,392 : x
  2. Step 2: Convert to fraction form
    1,354,005,638/2,948,387,392 = 2,948,387,392/x
  3. Step 3: Cross multiply
    1,354,005,638x = 2,948,387,392 × 2,948,387,392
  4. Step 4: Simplify right side
    1,354,005,638x = 8,692,988,213,304,561,664
  5. Step 5: Solve for x
    x = 8,692,988,213,304,561,664/1,354,005,638
  6. Step 6: Final answer
    x = 6,420,200,898.24

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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.