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Finding the Third Proportional to 691,386,024 and 1,520,677,098

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Solution

The third proportional to 691,386,024 and 1,520,677,098 is: 3,344,671,075.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,386,024 : 1,520,677,098 = 1,520,677,098 : x
  2. Step 2: Convert to fraction form
    691,386,024/1,520,677,098 = 1,520,677,098/x
  3. Step 3: Cross multiply
    691,386,024x = 1,520,677,098 × 1,520,677,098
  4. Step 4: Simplify right side
    691,386,024x = 2,312,458,836,381,701,632
  5. Step 5: Solve for x
    x = 2,312,458,836,381,701,632/691,386,024
  6. Step 6: Final answer
    x = 3,344,671,075.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.