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Finding the Third Proportional to 671,913,175.50 and 1,397,462,521.50

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Solution

The third proportional to 671,913,175.50 and 1,397,462,521.50 is: 2,906,478,947.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,913,175.50 : 1,397,462,521.50 = 1,397,462,521.50 : x
  2. Step 2: Convert to fraction form
    671,913,175.50/1,397,462,521.50 = 1,397,462,521.50/x
  3. Step 3: Cross multiply
    671,913,175.50x = 1,397,462,521.50 × 1,397,462,521.50
  4. Step 4: Simplify right side
    671,913,175.50x = 1,952,901,498,997,137,920
  5. Step 5: Solve for x
    x = 1,952,901,498,997,137,920/671,913,175.50
  6. Step 6: Final answer
    x = 2,906,478,947.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.