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Finding the Third Proportional to 3,306,414,783 and 7,138,808,532

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Solution

The third proportional to 3,306,414,783 and 7,138,808,532 is: 15,413,246,855.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306,414,783 : 7,138,808,532 = 7,138,808,532 : x
  2. Step 2: Convert to fraction form
    3,306,414,783/7,138,808,532 = 7,138,808,532/x
  3. Step 3: Cross multiply
    3,306,414,783x = 7,138,808,532 × 7,138,808,532
  4. Step 4: Simplify right side
    3,306,414,783x = 50,962,587,256,555,995,136
  5. Step 5: Solve for x
    x = 50,962,587,256,555,995,136/3,306,414,783
  6. Step 6: Final answer
    x = 15,413,246,855.35

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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.