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Finding the Third Proportional to 8,398,096 and 18,423,316

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Solution

The third proportional to 8,398,096 and 18,423,316 is: 40,416,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,398,096 : 18,423,316 = 18,423,316 : x
  2. Step 2: Convert to fraction form
    8,398,096/18,423,316 = 18,423,316/x
  3. Step 3: Cross multiply
    8,398,096x = 18,423,316 × 18,423,316
  4. Step 4: Simplify right side
    8,398,096x = 339,418,572,435,856
  5. Step 5: Solve for x
    x = 339,418,572,435,856/8,398,096
  6. Step 6: Final answer
    x = 40,416,133.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.