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Finding the Third Proportional to 1,040,771,013 and 2,272,260,966

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Solution

The third proportional to 1,040,771,013 and 2,272,260,966 is: 4,960,908,627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040,771,013 : 2,272,260,966 = 2,272,260,966 : x
  2. Step 2: Convert to fraction form
    1,040,771,013/2,272,260,966 = 2,272,260,966/x
  3. Step 3: Cross multiply
    1,040,771,013x = 2,272,260,966 × 2,272,260,966
  4. Step 4: Simplify right side
    1,040,771,013x = 5,163,169,897,607,252,992
  5. Step 5: Solve for x
    x = 5,163,169,897,607,252,992/1,040,771,013
  6. Step 6: Final answer
    x = 4,960,908,627.47

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