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Finding the Third Proportional to 2,358,085.13 and 5,052,360.75

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Solution

The third proportional to 2,358,085.13 and 5,052,360.75 is: 10,825,032.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358,085.13 : 5,052,360.75 = 5,052,360.75 : x
  2. Step 2: Convert to fraction form
    2,358,085.13/5,052,360.75 = 5,052,360.75/x
  3. Step 3: Cross multiply
    2,358,085.13x = 5,052,360.75 × 5,052,360.75
  4. Step 4: Simplify right side
    2,358,085.13x = 25,526,349,148,140.56
  5. Step 5: Solve for x
    x = 25,526,349,148,140.56/2,358,085.13
  6. Step 6: Final answer
    x = 10,825,032.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.