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Finding the Third Proportional to 296,066,637 and 641,557,287

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Solution

The third proportional to 296,066,637 and 641,557,287 is: 1,390,213,219.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,066,637 : 641,557,287 = 641,557,287 : x
  2. Step 2: Convert to fraction form
    296,066,637/641,557,287 = 641,557,287/x
  3. Step 3: Cross multiply
    296,066,637x = 641,557,287 × 641,557,287
  4. Step 4: Simplify right side
    296,066,637x = 411,595,752,502,800,384
  5. Step 5: Solve for x
    x = 411,595,752,502,800,384/296,066,637
  6. Step 6: Final answer
    x = 1,390,213,219.14

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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.