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Finding the Third Proportional to 2,358,976.50 and 5,159,521.13

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Solution

The third proportional to 2,358,976.50 and 5,159,521.13 is: 11,284,834.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358,976.50 : 5,159,521.13 = 5,159,521.13 : x
  2. Step 2: Convert to fraction form
    2,358,976.50/5,159,521.13 = 5,159,521.13/x
  3. Step 3: Cross multiply
    2,358,976.50x = 5,159,521.13 × 5,159,521.13
  4. Step 4: Simplify right side
    2,358,976.50x = 26,620,658,239,321.27
  5. Step 5: Solve for x
    x = 26,620,658,239,321.27/2,358,976.50
  6. Step 6: Final answer
    x = 11,284,834.01

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.