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Finding the Third Proportional to 475,825,891.50 and 727,415,196.75

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Solution

The third proportional to 475,825,891.50 and 727,415,196.75 is: 1,112,030,425.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,825,891.50 : 727,415,196.75 = 727,415,196.75 : x
  2. Step 2: Convert to fraction form
    475,825,891.50/727,415,196.75 = 727,415,196.75/x
  3. Step 3: Cross multiply
    475,825,891.50x = 727,415,196.75 × 727,415,196.75
  4. Step 4: Simplify right side
    475,825,891.50x = 529,132,868,462,841,216
  5. Step 5: Solve for x
    x = 529,132,868,462,841,216/475,825,891.50
  6. Step 6: Final answer
    x = 1,112,030,425.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.