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Finding the Third Proportional to 654,388,074 and 1,431,913,158

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Solution

The third proportional to 654,388,074 and 1,431,913,158 is: 3,133,271,178.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,388,074 : 1,431,913,158 = 1,431,913,158 : x
  2. Step 2: Convert to fraction form
    654,388,074/1,431,913,158 = 1,431,913,158/x
  3. Step 3: Cross multiply
    654,388,074x = 1,431,913,158 × 1,431,913,158
  4. Step 4: Simplify right side
    654,388,074x = 2,050,375,292,053,532,928
  5. Step 5: Solve for x
    x = 2,050,375,292,053,532,928/654,388,074
  6. Step 6: Final answer
    x = 3,133,271,178.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.