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Finding the Third Proportional to 487,416,576 and 1,055,086,080

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Solution

The third proportional to 487,416,576 and 1,055,086,080 is: 2,283,891,625.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,416,576 : 1,055,086,080 = 1,055,086,080 : x
  2. Step 2: Convert to fraction form
    487,416,576/1,055,086,080 = 1,055,086,080/x
  3. Step 3: Cross multiply
    487,416,576x = 1,055,086,080 × 1,055,086,080
  4. Step 4: Simplify right side
    487,416,576x = 1,113,206,636,209,766,400
  5. Step 5: Solve for x
    x = 1,113,206,636,209,766,400/487,416,576
  6. Step 6: Final answer
    x = 2,283,891,625.81

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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.