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Finding the Third Proportional to 689,163,977.25 and 1,041,951,453.19

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Solution

The third proportional to 689,163,977.25 and 1,041,951,453.19 is: 1,575,333,108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,163,977.25 : 1,041,951,453.19 = 1,041,951,453.19 : x
  2. Step 2: Convert to fraction form
    689,163,977.25/1,041,951,453.19 = 1,041,951,453.19/x
  3. Step 3: Cross multiply
    689,163,977.25x = 1,041,951,453.19 × 1,041,951,453.19
  4. Step 4: Simplify right side
    689,163,977.25x = 1,085,662,830,799,543,040
  5. Step 5: Solve for x
    x = 1,085,662,830,799,543,040/689,163,977.25
  6. Step 6: Final answer
    x = 1,575,333,108.87

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.