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Finding the Third Proportional to 1,306,565,860.50 and 1,997,342,214.75

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Solution

The third proportional to 1,306,565,860.50 and 1,997,342,214.75 is: 3,053,329,375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,565,860.50 : 1,997,342,214.75 = 1,997,342,214.75 : x
  2. Step 2: Convert to fraction form
    1,306,565,860.50/1,997,342,214.75 = 1,997,342,214.75/x
  3. Step 3: Cross multiply
    1,306,565,860.50x = 1,997,342,214.75 × 1,997,342,214.75
  4. Step 4: Simplify right side
    1,306,565,860.50x = 3,989,375,922,822,435,328
  5. Step 5: Solve for x
    x = 3,989,375,922,822,435,328/1,306,565,860.50
  6. Step 6: Final answer
    x = 3,053,329,375.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.