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Finding the Third Proportional to 9,606,196 and 20,585,280

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Solution

The third proportional to 9,606,196 and 20,585,280 is: 44,112,544.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606,196 : 20,585,280 = 20,585,280 : x
  2. Step 2: Convert to fraction form
    9,606,196/20,585,280 = 20,585,280/x
  3. Step 3: Cross multiply
    9,606,196x = 20,585,280 × 20,585,280
  4. Step 4: Simplify right side
    9,606,196x = 423,753,752,678,400
  5. Step 5: Solve for x
    x = 423,753,752,678,400/9,606,196
  6. Step 6: Final answer
    x = 44,112,544.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.