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Finding the Third Proportional to 132,514,842 and 283,452,969

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Solution

The third proportional to 132,514,842 and 283,452,969 is: 606,313,862.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,514,842 : 283,452,969 = 283,452,969 : x
  2. Step 2: Convert to fraction form
    132,514,842/283,452,969 = 283,452,969/x
  3. Step 3: Cross multiply
    132,514,842x = 283,452,969 × 283,452,969
  4. Step 4: Simplify right side
    132,514,842x = 80,345,585,634,914,960
  5. Step 5: Solve for x
    x = 80,345,585,634,914,960/132,514,842
  6. Step 6: Final answer
    x = 606,313,862.07

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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.