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Finding the Third Proportional to 9,663,684.75 and 21,004,727.63

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Solution

The third proportional to 9,663,684.75 and 21,004,727.63 is: 45,655,316.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663,684.75 : 21,004,727.63 = 21,004,727.63 : x
  2. Step 2: Convert to fraction form
    9,663,684.75/21,004,727.63 = 21,004,727.63/x
  3. Step 3: Cross multiply
    9,663,684.75x = 21,004,727.63 × 21,004,727.63
  4. Step 4: Simplify right side
    9,663,684.75x = 441,198,582,600,438.12
  5. Step 5: Solve for x
    x = 441,198,582,600,438.12/9,663,684.75
  6. Step 6: Final answer
    x = 45,655,316.17

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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.