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Finding the Third Proportional to 413,265,888,252 and 641,657,189,767.50

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Solution

The third proportional to 413,265,888,252 and 641,657,189,767.50 is: 996,268,893,427.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,265,888,252 : 641,657,189,767.50 = 641,657,189,767.50 : x
  2. Step 2: Convert to fraction form
    413,265,888,252/641,657,189,767.50 = 641,657,189,767.50/x
  3. Step 3: Cross multiply
    413,265,888,252x = 641,657,189,767.50 × 641,657,189,767.50
  4. Step 4: Simplify right side
    413,265,888,252x = 411,723,949,180,325,508,153,344
  5. Step 5: Solve for x
    x = 411,723,949,180,325,508,153,344/413,265,888,252
  6. Step 6: Final answer
    x = 996,268,893,427.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.