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Finding the Third Proportional to 695,768,546 and 1,491,134,257

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Solution

The third proportional to 695,768,546 and 1,491,134,257 is: 3,195,719,877.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,768,546 : 1,491,134,257 = 1,491,134,257 : x
  2. Step 2: Convert to fraction form
    695,768,546/1,491,134,257 = 1,491,134,257/x
  3. Step 3: Cross multiply
    695,768,546x = 1,491,134,257 × 1,491,134,257
  4. Step 4: Simplify right side
    695,768,546x = 2,223,481,372,398,941,952
  5. Step 5: Solve for x
    x = 2,223,481,372,398,941,952/695,768,546
  6. Step 6: Final answer
    x = 3,195,719,877.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.