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Finding the Third Proportional to 9,607,205 and 20,745,275

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Solution

The third proportional to 9,607,205 and 20,745,275 is: 44,796,216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607,205 : 20,745,275 = 20,745,275 : x
  2. Step 2: Convert to fraction form
    9,607,205/20,745,275 = 20,745,275/x
  3. Step 3: Cross multiply
    9,607,205x = 20,745,275 × 20,745,275
  4. Step 4: Simplify right side
    9,607,205x = 430,366,434,825,625
  5. Step 5: Solve for x
    x = 430,366,434,825,625/9,607,205
  6. Step 6: Final answer
    x = 44,796,216.47

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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.