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Finding the Third Proportional to 4,386,860.64 and 9,467,345.20

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Solution

The third proportional to 4,386,860.64 and 9,467,345.20 is: 20,431,609.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,386,860.64 : 9,467,345.20 = 9,467,345.20 : x
  2. Step 2: Convert to fraction form
    4,386,860.64/9,467,345.20 = 9,467,345.20/x
  3. Step 3: Cross multiply
    4,386,860.64x = 9,467,345.20 × 9,467,345.20
  4. Step 4: Simplify right side
    4,386,860.64x = 89,630,625,125,804.58
  5. Step 5: Solve for x
    x = 89,630,625,125,804.58/4,386,860.64
  6. Step 6: Final answer
    x = 20,431,609.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.