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Finding the Third Proportional to 16,776,794,389 and 25,140,650,523

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Solution

The third proportional to 16,776,794,389 and 25,140,650,523 is: 37,674,200,092.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,776,794,389 : 25,140,650,523 = 25,140,650,523 : x
  2. Step 2: Convert to fraction form
    16,776,794,389/25,140,650,523 = 25,140,650,523/x
  3. Step 3: Cross multiply
    16,776,794,389x = 25,140,650,523 × 25,140,650,523
  4. Step 4: Simplify right side
    16,776,794,389x = 632,052,308,719,620,194,304
  5. Step 5: Solve for x
    x = 632,052,308,719,620,194,304/16,776,794,389
  6. Step 6: Final answer
    x = 37,674,200,092.36

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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.