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Finding the Third Proportional to 485,816,074 and 1,049,044,747

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Solution

The third proportional to 485,816,074 and 1,049,044,747 is: 2,265,250,040.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,816,074 : 1,049,044,747 = 1,049,044,747 : x
  2. Step 2: Convert to fraction form
    485,816,074/1,049,044,747 = 1,049,044,747/x
  3. Step 3: Cross multiply
    485,816,074x = 1,049,044,747 × 1,049,044,747
  4. Step 4: Simplify right side
    485,816,074x = 1,100,494,881,208,294,016
  5. Step 5: Solve for x
    x = 1,100,494,881,208,294,016/485,816,074
  6. Step 6: Final answer
    x = 2,265,250,040.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.