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Finding the Third Proportional to 584,873,141.50 and 1,284,544,127

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Solution

The third proportional to 584,873,141.50 and 1,284,544,127 is: 2,821,216,255.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,873,141.50 : 1,284,544,127 = 1,284,544,127 : x
  2. Step 2: Convert to fraction form
    584,873,141.50/1,284,544,127 = 1,284,544,127/x
  3. Step 3: Cross multiply
    584,873,141.50x = 1,284,544,127 × 1,284,544,127
  4. Step 4: Simplify right side
    584,873,141.50x = 1,650,053,614,210,192,128
  5. Step 5: Solve for x
    x = 1,650,053,614,210,192,128/584,873,141.50
  6. Step 6: Final answer
    x = 2,821,216,255.51

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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.