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Finding the Third Proportional to 8,148,951 and 17,269,335

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Solution

The third proportional to 8,148,951 and 17,269,335 is: 36,597,340.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148,951 : 17,269,335 = 17,269,335 : x
  2. Step 2: Convert to fraction form
    8,148,951/17,269,335 = 17,269,335/x
  3. Step 3: Cross multiply
    8,148,951x = 17,269,335 × 17,269,335
  4. Step 4: Simplify right side
    8,148,951x = 298,229,931,342,225
  5. Step 5: Solve for x
    x = 298,229,931,342,225/8,148,951
  6. Step 6: Final answer
    x = 36,597,340.12

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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.