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Finding the Third Proportional to 1,134,386,512 and 2,462,375,984

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Solution

The third proportional to 1,134,386,512 and 2,462,375,984 is: 5,344,999,629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134,386,512 : 2,462,375,984 = 2,462,375,984 : x
  2. Step 2: Convert to fraction form
    1,134,386,512/2,462,375,984 = 2,462,375,984/x
  3. Step 3: Cross multiply
    1,134,386,512x = 2,462,375,984 × 2,462,375,984
  4. Step 4: Simplify right side
    1,134,386,512x = 6,063,295,486,579,968,000
  5. Step 5: Solve for x
    x = 6,063,295,486,579,968,000/1,134,386,512
  6. Step 6: Final answer
    x = 5,344,999,629.70

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.