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Finding the Third Proportional to 1,306,565,853.75 and 1,997,342,203.50

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Solution

The third proportional to 1,306,565,853.75 and 1,997,342,203.50 is: 3,053,329,356.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306,565,853.75 : 1,997,342,203.50 = 1,997,342,203.50 : x
  2. Step 2: Convert to fraction form
    1,306,565,853.75/1,997,342,203.50 = 1,997,342,203.50/x
  3. Step 3: Cross multiply
    1,306,565,853.75x = 1,997,342,203.50 × 1,997,342,203.50
  4. Step 4: Simplify right side
    1,306,565,853.75x = 3,989,375,877,882,235,392
  5. Step 5: Solve for x
    x = 3,989,375,877,882,235,392/1,306,565,853.75
  6. Step 6: Final answer
    x = 3,053,329,356.83

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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.