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Finding the Third Proportional to 347,686,905 and 736,826,203

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Solution

The third proportional to 347,686,905 and 736,826,203 is: 1,561,499,284.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,686,905 : 736,826,203 = 736,826,203 : x
  2. Step 2: Convert to fraction form
    347,686,905/736,826,203 = 736,826,203/x
  3. Step 3: Cross multiply
    347,686,905x = 736,826,203 × 736,826,203
  4. Step 4: Simplify right side
    347,686,905x = 542,912,853,427,397,184
  5. Step 5: Solve for x
    x = 542,912,853,427,397,184/347,686,905
  6. Step 6: Final answer
    x = 1,561,499,284.61

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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.