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Finding the Third Proportional to 7,606,856 and 16,914,496

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Solution

The third proportional to 7,606,856 and 16,914,496 is: 37,610,830.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606,856 : 16,914,496 = 16,914,496 : x
  2. Step 2: Convert to fraction form
    7,606,856/16,914,496 = 16,914,496/x
  3. Step 3: Cross multiply
    7,606,856x = 16,914,496 × 16,914,496
  4. Step 4: Simplify right side
    7,606,856x = 286,100,174,934,016
  5. Step 5: Solve for x
    x = 286,100,174,934,016/7,606,856
  6. Step 6: Final answer
    x = 37,610,830.93

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.