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Finding the Third Proportional to 419,013,012 and 987,730,008

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Solution

The third proportional to 419,013,012 and 987,730,008 is: 2,328,353,871.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,013,012 : 987,730,008 = 987,730,008 : x
  2. Step 2: Convert to fraction form
    419,013,012/987,730,008 = 987,730,008/x
  3. Step 3: Cross multiply
    419,013,012x = 987,730,008 × 987,730,008
  4. Step 4: Simplify right side
    419,013,012x = 975,610,568,703,680,000
  5. Step 5: Solve for x
    x = 975,610,568,703,680,000/419,013,012
  6. Step 6: Final answer
    x = 2,328,353,871.51

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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.