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Finding the Third Proportional to 9,833,406.33 and 15,391,652.91

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Solution

The third proportional to 9,833,406.33 and 15,391,652.91 is: 24,091,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833,406.33 : 15,391,652.91 = 15,391,652.91 : x
  2. Step 2: Convert to fraction form
    9,833,406.33/15,391,652.91 = 15,391,652.91/x
  3. Step 3: Cross multiply
    9,833,406.33x = 15,391,652.91 × 15,391,652.91
  4. Step 4: Simplify right side
    9,833,406.33x = 236,902,979,186,474.06
  5. Step 5: Solve for x
    x = 236,902,979,186,474.06/9,833,406.33
  6. Step 6: Final answer
    x = 24,091,649.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.