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Finding the Third Proportional to 1,253,172,376 and 2,714,620,592

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Solution

The third proportional to 1,253,172,376 and 2,714,620,592 is: 5,880,408,074.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253,172,376 : 2,714,620,592 = 2,714,620,592 : x
  2. Step 2: Convert to fraction form
    1,253,172,376/2,714,620,592 = 2,714,620,592/x
  3. Step 3: Cross multiply
    1,253,172,376x = 2,714,620,592 × 2,714,620,592
  4. Step 4: Simplify right side
    1,253,172,376x = 7,369,164,958,510,430,208
  5. Step 5: Solve for x
    x = 7,369,164,958,510,430,208/1,253,172,376
  6. Step 6: Final answer
    x = 5,880,408,074.45

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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.