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Finding the Third Proportional to 14,887,231.31 and 32,247,689.63

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Solution

The third proportional to 14,887,231.31 and 32,247,689.63 is: 69,852,712.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,887,231.31 : 32,247,689.63 = 32,247,689.63 : x
  2. Step 2: Convert to fraction form
    14,887,231.31/32,247,689.63 = 32,247,689.63/x
  3. Step 3: Cross multiply
    14,887,231.31x = 32,247,689.63 × 32,247,689.63
  4. Step 4: Simplify right side
    14,887,231.31x = 1,039,913,486,150,332.62
  5. Step 5: Solve for x
    x = 1,039,913,486,150,332.62/14,887,231.31
  6. Step 6: Final answer
    x = 69,852,712.32

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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.