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Finding the Third Proportional to 6,810,414 and 14,451,024

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Solution

The third proportional to 6,810,414 and 14,451,024 is: 30,663,641.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810,414 : 14,451,024 = 14,451,024 : x
  2. Step 2: Convert to fraction form
    6,810,414/14,451,024 = 14,451,024/x
  3. Step 3: Cross multiply
    6,810,414x = 14,451,024 × 14,451,024
  4. Step 4: Simplify right side
    6,810,414x = 208,832,094,648,576
  5. Step 5: Solve for x
    x = 208,832,094,648,576/6,810,414
  6. Step 6: Final answer
    x = 30,663,641.69

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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.