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Finding the Third Proportional to 2,912,493,714 and 6,418,646,394

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Solution

The third proportional to 2,912,493,714 and 6,418,646,394 is: 14,145,617,322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912,493,714 : 6,418,646,394 = 6,418,646,394 : x
  2. Step 2: Convert to fraction form
    2,912,493,714/6,418,646,394 = 6,418,646,394/x
  3. Step 3: Cross multiply
    2,912,493,714x = 6,418,646,394 × 6,418,646,394
  4. Step 4: Simplify right side
    2,912,493,714x = 41,199,021,531,209,203,712
  5. Step 5: Solve for x
    x = 41,199,021,531,209,203,712/2,912,493,714
  6. Step 6: Final answer
    x = 14,145,617,322.08

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.