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Finding the Third Proportional to 305,723,766,733 and 455,934,448,648.50

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Solution

The third proportional to 305,723,766,733 and 455,934,448,648.50 is: 679,947,861,711.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,723,766,733 : 455,934,448,648.50 = 455,934,448,648.50 : x
  2. Step 2: Convert to fraction form
    305,723,766,733/455,934,448,648.50 = 455,934,448,648.50/x
  3. Step 3: Cross multiply
    305,723,766,733x = 455,934,448,648.50 × 455,934,448,648.50
  4. Step 4: Simplify right side
    305,723,766,733x = 207,876,221,464,411,677,655,040
  5. Step 5: Solve for x
    x = 207,876,221,464,411,677,655,040/305,723,766,733
  6. Step 6: Final answer
    x = 679,947,861,711.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.