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Finding the Third Proportional to 1,040,771,011 and 2,272,260,961

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Solution

The third proportional to 1,040,771,011 and 2,272,260,961 is: 4,960,908,615.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040,771,011 : 2,272,260,961 = 2,272,260,961 : x
  2. Step 2: Convert to fraction form
    1,040,771,011/2,272,260,961 = 2,272,260,961/x
  3. Step 3: Cross multiply
    1,040,771,011x = 2,272,260,961 × 2,272,260,961
  4. Step 4: Simplify right side
    1,040,771,011x = 5,163,169,874,884,643,840
  5. Step 5: Solve for x
    x = 5,163,169,874,884,643,840/1,040,771,011
  6. Step 6: Final answer
    x = 4,960,908,615.17

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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.