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Finding the Third Proportional to 11,714,802.19 and 25,444,583.16

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Solution

The third proportional to 11,714,802.19 and 25,444,583.16 is: 55,265,705.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714,802.19 : 25,444,583.16 = 25,444,583.16 : x
  2. Step 2: Convert to fraction form
    11,714,802.19/25,444,583.16 = 25,444,583.16/x
  3. Step 3: Cross multiply
    11,714,802.19x = 25,444,583.16 × 25,444,583.16
  4. Step 4: Simplify right side
    11,714,802.19x = 647,426,811,995,321.25
  5. Step 5: Solve for x
    x = 647,426,811,995,321.25/11,714,802.19
  6. Step 6: Final answer
    x = 55,265,705.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.