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Finding the Third Proportional to 584,873,137.50 and 1,284,544,119

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Solution

The third proportional to 584,873,137.50 and 1,284,544,119 is: 2,821,216,239.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,873,137.50 : 1,284,544,119 = 1,284,544,119 : x
  2. Step 2: Convert to fraction form
    584,873,137.50/1,284,544,119 = 1,284,544,119/x
  3. Step 3: Cross multiply
    584,873,137.50x = 1,284,544,119 × 1,284,544,119
  4. Step 4: Simplify right side
    584,873,137.50x = 1,650,053,593,657,486,080
  5. Step 5: Solve for x
    x = 1,650,053,593,657,486,080/584,873,137.50
  6. Step 6: Final answer
    x = 2,821,216,239.66

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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.