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Finding the Third Proportional to 347,686,917 and 736,826,232

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Solution

The third proportional to 347,686,917 and 736,826,232 is: 1,561,499,353.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,686,917 : 736,826,232 = 736,826,232 : x
  2. Step 2: Convert to fraction form
    347,686,917/736,826,232 = 736,826,232/x
  3. Step 3: Cross multiply
    347,686,917x = 736,826,232 × 736,826,232
  4. Step 4: Simplify right side
    347,686,917x = 542,912,896,163,317,824
  5. Step 5: Solve for x
    x = 542,912,896,163,317,824/347,686,917
  6. Step 6: Final answer
    x = 1,561,499,353.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.