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Finding the Third Proportional to 769,846,146.75 and 1,112,294,980.13

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Solution

The third proportional to 769,846,146.75 and 1,112,294,980.13 is: 1,607,074,514.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,846,146.75 : 1,112,294,980.13 = 1,112,294,980.13 : x
  2. Step 2: Convert to fraction form
    769,846,146.75/1,112,294,980.13 = 1,112,294,980.13/x
  3. Step 3: Cross multiply
    769,846,146.75x = 1,112,294,980.13 × 1,112,294,980.13
  4. Step 4: Simplify right side
    769,846,146.75x = 1,237,200,122,811,274,240
  5. Step 5: Solve for x
    x = 1,237,200,122,811,274,240/769,846,146.75
  6. Step 6: Final answer
    x = 1,607,074,514.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.