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Finding the Third Proportional to 21,976,080.75 and 32,306,379.75

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Solution

The third proportional to 21,976,080.75 and 32,306,379.75 is: 47,492,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,976,080.75 : 32,306,379.75 = 32,306,379.75 : x
  2. Step 2: Convert to fraction form
    21,976,080.75/32,306,379.75 = 32,306,379.75/x
  3. Step 3: Cross multiply
    21,976,080.75x = 32,306,379.75 × 32,306,379.75
  4. Step 4: Simplify right side
    21,976,080.75x = 1,043,702,172,551,210
  5. Step 5: Solve for x
    x = 1,043,702,172,551,210/21,976,080.75
  6. Step 6: Final answer
    x = 47,492,643.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.