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Finding the Third Proportional to 296,068,718 and 641,561,422

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Solution

The third proportional to 296,068,718 and 641,561,422 is: 1,390,221,368.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,068,718 : 641,561,422 = 641,561,422 : x
  2. Step 2: Convert to fraction form
    296,068,718/641,561,422 = 641,561,422/x
  3. Step 3: Cross multiply
    296,068,718x = 641,561,422 × 641,561,422
  4. Step 4: Simplify right side
    296,068,718x = 411,601,058,198,662,080
  5. Step 5: Solve for x
    x = 411,601,058,198,662,080/296,068,718
  6. Step 6: Final answer
    x = 1,390,221,368.13

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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.