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Finding the Third Proportional to 416,374,376 and 925,844,118

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Solution

The third proportional to 416,374,376 and 925,844,118 is: 2,058,693,762.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,374,376 : 925,844,118 = 925,844,118 : x
  2. Step 2: Convert to fraction form
    416,374,376/925,844,118 = 925,844,118/x
  3. Step 3: Cross multiply
    416,374,376x = 925,844,118 × 925,844,118
  4. Step 4: Simplify right side
    416,374,376x = 857,187,330,835,197,952
  5. Step 5: Solve for x
    x = 857,187,330,835,197,952/416,374,376
  6. Step 6: Final answer
    x = 2,058,693,762.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.