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Finding the Third Proportional to 1,392,479,856 and 2,106,658,296

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Solution

The third proportional to 1,392,479,856 and 2,106,658,296 is: 3,187,126,303.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392,479,856 : 2,106,658,296 = 2,106,658,296 : x
  2. Step 2: Convert to fraction form
    1,392,479,856/2,106,658,296 = 2,106,658,296/x
  3. Step 3: Cross multiply
    1,392,479,856x = 2,106,658,296 × 2,106,658,296
  4. Step 4: Simplify right side
    1,392,479,856x = 4,438,009,176,105,623,552
  5. Step 5: Solve for x
    x = 4,438,009,176,105,623,552/1,392,479,856
  6. Step 6: Final answer
    x = 3,187,126,303.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.