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Finding the Third Proportional to 720,568,440 and 1,461,187,544

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Solution

The third proportional to 720,568,440 and 1,461,187,544 is: 2,963,034,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,568,440 : 1,461,187,544 = 1,461,187,544 : x
  2. Step 2: Convert to fraction form
    720,568,440/1,461,187,544 = 1,461,187,544/x
  3. Step 3: Cross multiply
    720,568,440x = 1,461,187,544 × 1,461,187,544
  4. Step 4: Simplify right side
    720,568,440x = 2,135,069,038,740,751,872
  5. Step 5: Solve for x
    x = 2,135,069,038,740,751,872/720,568,440
  6. Step 6: Final answer
    x = 2,963,034,349.30

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.