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Finding the Third Proportional to 568,943,904 and 1,241,262,276

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Solution

The third proportional to 568,943,904 and 1,241,262,276 is: 2,708,056,149.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,943,904 : 1,241,262,276 = 1,241,262,276 : x
  2. Step 2: Convert to fraction form
    568,943,904/1,241,262,276 = 1,241,262,276/x
  3. Step 3: Cross multiply
    568,943,904x = 1,241,262,276 × 1,241,262,276
  4. Step 4: Simplify right side
    568,943,904x = 1,540,732,037,820,700,160
  5. Step 5: Solve for x
    x = 1,540,732,037,820,700,160/568,943,904
  6. Step 6: Final answer
    x = 2,708,056,149.28

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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.