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Finding the Third Proportional to 485,141,310 and 1,055,284,396.88

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Solution

The third proportional to 485,141,310 and 1,055,284,396.88 is: 2,295,465,538.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,141,310 : 1,055,284,396.88 = 1,055,284,396.88 : x
  2. Step 2: Convert to fraction form
    485,141,310/1,055,284,396.88 = 1,055,284,396.88/x
  3. Step 3: Cross multiply
    485,141,310x = 1,055,284,396.88 × 1,055,284,396.88
  4. Step 4: Simplify right side
    485,141,310x = 1,113,625,158,287,832,448
  5. Step 5: Solve for x
    x = 1,113,625,158,287,832,448/485,141,310
  6. Step 6: Final answer
    x = 2,295,465,538.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.