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Finding the Third Proportional to 23,449,047 and 51,668,731.50

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Solution

The third proportional to 23,449,047 and 51,668,731.50 is: 113,849,309.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,449,047 : 51,668,731.50 = 51,668,731.50 : x
  2. Step 2: Convert to fraction form
    23,449,047/51,668,731.50 = 51,668,731.50/x
  3. Step 3: Cross multiply
    23,449,047x = 51,668,731.50 × 51,668,731.50
  4. Step 4: Simplify right side
    23,449,047x = 2,669,657,814,819,092
  5. Step 5: Solve for x
    x = 2,669,657,814,819,092/23,449,047
  6. Step 6: Final answer
    x = 113,849,309.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.