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Finding the Third Proportional to 379,251,400,323 and 547,952,781,262.50

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Solution

The third proportional to 379,251,400,323 and 547,952,781,262.50 is: 791,697,143,998.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,251,400,323 : 547,952,781,262.50 = 547,952,781,262.50 : x
  2. Step 2: Convert to fraction form
    379,251,400,323/547,952,781,262.50 = 547,952,781,262.50/x
  3. Step 3: Cross multiply
    379,251,400,323x = 547,952,781,262.50 × 547,952,781,262.50
  4. Step 4: Simplify right side
    379,251,400,323x = 300,252,250,493,309,176,250,368
  5. Step 5: Solve for x
    x = 300,252,250,493,309,176,250,368/379,251,400,323
  6. Step 6: Final answer
    x = 791,697,143,998.92

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.