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Finding the Third Proportional to 2,407,029.75 and 5,286,448.13

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Solution

The third proportional to 2,407,029.75 and 5,286,448.13 is: 11,610,381.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407,029.75 : 5,286,448.13 = 5,286,448.13 : x
  2. Step 2: Convert to fraction form
    2,407,029.75/5,286,448.13 = 5,286,448.13/x
  3. Step 3: Cross multiply
    2,407,029.75x = 5,286,448.13 × 5,286,448.13
  4. Step 4: Simplify right side
    2,407,029.75x = 27,946,533,778,316.02
  5. Step 5: Solve for x
    x = 27,946,533,778,316.02/2,407,029.75
  6. Step 6: Final answer
    x = 11,610,381.54

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.