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Finding the Third Proportional to 278,919,642 and 608,060,514

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Solution

The third proportional to 278,919,642 and 608,060,514 is: 1,325,606,135.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,919,642 : 608,060,514 = 608,060,514 : x
  2. Step 2: Convert to fraction form
    278,919,642/608,060,514 = 608,060,514/x
  3. Step 3: Cross multiply
    278,919,642x = 608,060,514 × 608,060,514
  4. Step 4: Simplify right side
    278,919,642x = 369,737,588,685,944,192
  5. Step 5: Solve for x
    x = 369,737,588,685,944,192/278,919,642
  6. Step 6: Final answer
    x = 1,325,606,135.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.