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Finding the Third Proportional to 7,880,905 and 17,019,218

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Solution

The third proportional to 7,880,905 and 17,019,218 is: 36,753,872.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,880,905 : 17,019,218 = 17,019,218 : x
  2. Step 2: Convert to fraction form
    7,880,905/17,019,218 = 17,019,218/x
  3. Step 3: Cross multiply
    7,880,905x = 17,019,218 × 17,019,218
  4. Step 4: Simplify right side
    7,880,905x = 289,653,781,331,524
  5. Step 5: Solve for x
    x = 289,653,781,331,524/7,880,905
  6. Step 6: Final answer
    x = 36,753,872.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.