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Finding the Third Proportional to 351,702,845 and 748,893,106

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Solution

The third proportional to 351,702,845 and 748,893,106 is: 1,594,644,149.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,702,845 : 748,893,106 = 748,893,106 : x
  2. Step 2: Convert to fraction form
    351,702,845/748,893,106 = 748,893,106/x
  3. Step 3: Cross multiply
    351,702,845x = 748,893,106 × 748,893,106
  4. Step 4: Simplify right side
    351,702,845x = 560,840,884,214,327,232
  5. Step 5: Solve for x
    x = 560,840,884,214,327,232/351,702,845
  6. Step 6: Final answer
    x = 1,594,644,149.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.