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Finding the Third Proportional to 51,389,074.50 and 84,360,831

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Solution

The third proportional to 51,389,074.50 and 84,360,831 is: 138,487,604.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,389,074.50 : 84,360,831 = 84,360,831 : x
  2. Step 2: Convert to fraction form
    51,389,074.50/84,360,831 = 84,360,831/x
  3. Step 3: Cross multiply
    51,389,074.50x = 84,360,831 × 84,360,831
  4. Step 4: Simplify right side
    51,389,074.50x = 7,116,749,807,010,561
  5. Step 5: Solve for x
    x = 7,116,749,807,010,561/51,389,074.50
  6. Step 6: Final answer
    x = 138,487,604.15

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.