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Finding the Third Proportional to 7,366,414 and 16,070,905

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Solution

The third proportional to 7,366,414 and 16,070,905 is: 35,061,019.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,366,414 : 16,070,905 = 16,070,905 : x
  2. Step 2: Convert to fraction form
    7,366,414/16,070,905 = 16,070,905/x
  3. Step 3: Cross multiply
    7,366,414x = 16,070,905 × 16,070,905
  4. Step 4: Simplify right side
    7,366,414x = 258,273,987,519,025
  5. Step 5: Solve for x
    x = 258,273,987,519,025/7,366,414
  6. Step 6: Final answer
    x = 35,061,019.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.