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Finding the Third Proportional to 419,013,000 and 987,729,987.38

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Solution

The third proportional to 419,013,000 and 987,729,987.38 is: 2,328,353,840.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,013,000 : 987,729,987.38 = 987,729,987.38 : x
  2. Step 2: Convert to fraction form
    419,013,000/987,729,987.38 = 987,729,987.38/x
  3. Step 3: Cross multiply
    419,013,000x = 987,729,987.38 × 987,729,987.38
  4. Step 4: Simplify right side
    419,013,000x = 975,610,527,959,817,600
  5. Step 5: Solve for x
    x = 975,610,527,959,817,600/419,013,000
  6. Step 6: Final answer
    x = 2,328,353,840.95

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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.