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Finding the Third Proportional to 16,776,794,387 and 25,140,650,520

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Solution

The third proportional to 16,776,794,387 and 25,140,650,520 is: 37,674,200,087.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,776,794,387 : 25,140,650,520 = 25,140,650,520 : x
  2. Step 2: Convert to fraction form
    16,776,794,387/25,140,650,520 = 25,140,650,520/x
  3. Step 3: Cross multiply
    16,776,794,387x = 25,140,650,520 × 25,140,650,520
  4. Step 4: Simplify right side
    16,776,794,387x = 632,052,308,568,776,245,248
  5. Step 5: Solve for x
    x = 632,052,308,568,776,245,248/16,776,794,387
  6. Step 6: Final answer
    x = 37,674,200,087.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.