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Finding the Third Proportional to 1,299,160,300 and 3,031,478,794

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Solution

The third proportional to 1,299,160,300 and 3,031,478,794 is: 7,073,694,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,160,300 : 3,031,478,794 = 3,031,478,794 : x
  2. Step 2: Convert to fraction form
    1,299,160,300/3,031,478,794 = 3,031,478,794/x
  3. Step 3: Cross multiply
    1,299,160,300x = 3,031,478,794 × 3,031,478,794
  4. Step 4: Simplify right side
    1,299,160,300x = 9,189,863,678,471,694,336
  5. Step 5: Solve for x
    x = 9,189,863,678,471,694,336/1,299,160,300
  6. Step 6: Final answer
    x = 7,073,694,969.34

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.