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Finding the Third Proportional to 2,856,646,782 and 6,190,002,630

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Solution

The third proportional to 2,856,646,782 and 6,190,002,630 is: 13,412,975,241.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856,646,782 : 6,190,002,630 = 6,190,002,630 : x
  2. Step 2: Convert to fraction form
    2,856,646,782/6,190,002,630 = 6,190,002,630/x
  3. Step 3: Cross multiply
    2,856,646,782x = 6,190,002,630 × 6,190,002,630
  4. Step 4: Simplify right side
    2,856,646,782x = 38,316,132,559,406,915,584
  5. Step 5: Solve for x
    x = 38,316,132,559,406,915,584/2,856,646,782
  6. Step 6: Final answer
    x = 13,412,975,241.06

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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.