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Finding the Third Proportional to 1,345,171,377 and 1,893,472,267.50

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Solution

The third proportional to 1,345,171,377 and 1,893,472,267.50 is: 2,665,264,284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345,171,377 : 1,893,472,267.50 = 1,893,472,267.50 : x
  2. Step 2: Convert to fraction form
    1,345,171,377/1,893,472,267.50 = 1,893,472,267.50/x
  3. Step 3: Cross multiply
    1,345,171,377x = 1,893,472,267.50 × 1,893,472,267.50
  4. Step 4: Simplify right side
    1,345,171,377x = 3,585,237,227,791,591,424
  5. Step 5: Solve for x
    x = 3,585,237,227,791,591,424/1,345,171,377
  6. Step 6: Final answer
    x = 2,665,264,284.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.