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Finding the Third Proportional to 568,943,859 and 1,241,262,225

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Solution

The third proportional to 568,943,859 and 1,241,262,225 is: 2,708,056,140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,943,859 : 1,241,262,225 = 1,241,262,225 : x
  2. Step 2: Convert to fraction form
    568,943,859/1,241,262,225 = 1,241,262,225/x
  3. Step 3: Cross multiply
    568,943,859x = 1,241,262,225 × 1,241,262,225
  4. Step 4: Simplify right side
    568,943,859x = 1,540,731,911,211,950,592
  5. Step 5: Solve for x
    x = 1,540,731,911,211,950,592/568,943,859
  6. Step 6: Final answer
    x = 2,708,056,140.93

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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.