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Finding the Third Proportional to 566,306,649 and 1,334,942,244

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Solution

The third proportional to 566,306,649 and 1,334,942,244 is: 3,146,830,075.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,306,649 : 1,334,942,244 = 1,334,942,244 : x
  2. Step 2: Convert to fraction form
    566,306,649/1,334,942,244 = 1,334,942,244/x
  3. Step 3: Cross multiply
    566,306,649x = 1,334,942,244 × 1,334,942,244
  4. Step 4: Simplify right side
    566,306,649x = 1,782,070,794,815,755,520
  5. Step 5: Solve for x
    x = 1,782,070,794,815,755,520/566,306,649
  6. Step 6: Final answer
    x = 3,146,830,075.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.