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Finding the Third Proportional to 665,104,796 and 935,425,397

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Solution

The third proportional to 665,104,796 and 935,425,397 is: 1,315,613,236.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,104,796 : 935,425,397 = 935,425,397 : x
  2. Step 2: Convert to fraction form
    665,104,796/935,425,397 = 935,425,397/x
  3. Step 3: Cross multiply
    665,104,796x = 935,425,397 × 935,425,397
  4. Step 4: Simplify right side
    665,104,796x = 875,020,673,352,607,616
  5. Step 5: Solve for x
    x = 875,020,673,352,607,616/665,104,796
  6. Step 6: Final answer
    x = 1,315,613,236.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.