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Finding the Third Proportional to 312,361,705,869.76 and 439,874,113,713.76

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Solution

The third proportional to 312,361,705,869.76 and 439,874,113,713.76 is: 619,439,682,520.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,361,705,869.76 : 439,874,113,713.76 = 439,874,113,713.76 : x
  2. Step 2: Convert to fraction form
    312,361,705,869.76/439,874,113,713.76 = 439,874,113,713.76/x
  3. Step 3: Cross multiply
    312,361,705,869.76x = 439,874,113,713.76 × 439,874,113,713.76
  4. Step 4: Simplify right side
    312,361,705,869.76x = 193,489,235,915,465,855,860,736
  5. Step 5: Solve for x
    x = 193,489,235,915,465,855,860,736/312,361,705,869.76
  6. Step 6: Final answer
    x = 619,439,682,520.31

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1.5x scale

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.