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Finding the Third Proportional to 4,615,891.31 and 10,684,964.39

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Solution

The third proportional to 4,615,891.31 and 10,684,964.39 is: 24,733,785.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615,891.31 : 10,684,964.39 = 10,684,964.39 : x
  2. Step 2: Convert to fraction form
    4,615,891.31/10,684,964.39 = 10,684,964.39/x
  3. Step 3: Cross multiply
    4,615,891.31x = 10,684,964.39 × 10,684,964.39
  4. Step 4: Simplify right side
    4,615,891.31x = 114,168,464,028,924.28
  5. Step 5: Solve for x
    x = 114,168,464,028,924.28/4,615,891.31
  6. Step 6: Final answer
    x = 24,733,785.16

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.