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Finding the Third Proportional to 51,961,009.89 and 72,644,549.57

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Solution

The third proportional to 51,961,009.89 and 72,644,549.57 is: 101,561,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,961,009.89 : 72,644,549.57 = 72,644,549.57 : x
  2. Step 2: Convert to fraction form
    51,961,009.89/72,644,549.57 = 72,644,549.57/x
  3. Step 3: Cross multiply
    51,961,009.89x = 72,644,549.57 × 72,644,549.57
  4. Step 4: Simplify right side
    51,961,009.89x = 5,277,230,582,557,702
  5. Step 5: Solve for x
    x = 5,277,230,582,557,702/51,961,009.89
  6. Step 6: Final answer
    x = 101,561,355.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.