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Finding the Third Proportional to 16,986,300,849 and 25,479,453,865.50

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Solution

The third proportional to 16,986,300,849 and 25,479,453,865.50 is: 38,219,184,686.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,986,300,849 : 25,479,453,865.50 = 25,479,453,865.50 : x
  2. Step 2: Convert to fraction form
    16,986,300,849/25,479,453,865.50 = 25,479,453,865.50/x
  3. Step 3: Cross multiply
    16,986,300,849x = 25,479,453,865.50 × 25,479,453,865.50
  4. Step 4: Simplify right side
    16,986,300,849x = 649,202,569,284,142,891,008
  5. Step 5: Solve for x
    x = 649,202,569,284,142,891,008/16,986,300,849
  6. Step 6: Final answer
    x = 38,219,184,686.25

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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.