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Finding the Third Proportional to 8,266,416 and 17,516,206

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Solution

The third proportional to 8,266,416 and 17,516,206 is: 37,116,142.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266,416 : 17,516,206 = 17,516,206 : x
  2. Step 2: Convert to fraction form
    8,266,416/17,516,206 = 17,516,206/x
  3. Step 3: Cross multiply
    8,266,416x = 17,516,206 × 17,516,206
  4. Step 4: Simplify right side
    8,266,416x = 306,817,472,634,436
  5. Step 5: Solve for x
    x = 306,817,472,634,436/8,266,416
  6. Step 6: Final answer
    x = 37,116,142.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.