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Finding the Third Proportional to 580,202,685.75 and 1,252,288,410

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Solution

The third proportional to 580,202,685.75 and 1,252,288,410 is: 2,702,893,834.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,202,685.75 : 1,252,288,410 = 1,252,288,410 : x
  2. Step 2: Convert to fraction form
    580,202,685.75/1,252,288,410 = 1,252,288,410/x
  3. Step 3: Cross multiply
    580,202,685.75x = 1,252,288,410 × 1,252,288,410
  4. Step 4: Simplify right side
    580,202,685.75x = 1,568,226,261,820,328,192
  5. Step 5: Solve for x
    x = 1,568,226,261,820,328,192/580,202,685.75
  6. Step 6: Final answer
    x = 2,702,893,834.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.