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Finding the Third Proportional to 2,650,146,076.50 and 5,741,957,421

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Solution

The third proportional to 2,650,146,076.50 and 5,741,957,421 is: 12,440,851,965.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,650,146,076.50 : 5,741,957,421 = 5,741,957,421 : x
  2. Step 2: Convert to fraction form
    2,650,146,076.50/5,741,957,421 = 5,741,957,421/x
  3. Step 3: Cross multiply
    2,650,146,076.50x = 5,741,957,421 × 5,741,957,421
  4. Step 4: Simplify right side
    2,650,146,076.50x = 32,970,075,024,576,970,752
  5. Step 5: Solve for x
    x = 32,970,075,024,576,970,752/2,650,146,076.50
  6. Step 6: Final answer
    x = 12,440,851,965.46

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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.