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Finding the Third Proportional to 347,686,914 and 736,826,226

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Solution

The third proportional to 347,686,914 and 736,826,226 is: 1,561,499,341.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,686,914 : 736,826,226 = 736,826,226 : x
  2. Step 2: Convert to fraction form
    347,686,914/736,826,226 = 736,826,226/x
  3. Step 3: Cross multiply
    347,686,914x = 736,826,226 × 736,826,226
  4. Step 4: Simplify right side
    347,686,914x = 542,912,887,321,403,072
  5. Step 5: Solve for x
    x = 542,912,887,321,403,072/347,686,914
  6. Step 6: Final answer
    x = 1,561,499,341.68

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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.