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Finding the Third Proportional to 4,678,816 and 10,053,840

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Solution

The third proportional to 4,678,816 and 10,053,840 is: 21,603,691.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678,816 : 10,053,840 = 10,053,840 : x
  2. Step 2: Convert to fraction form
    4,678,816/10,053,840 = 10,053,840/x
  3. Step 3: Cross multiply
    4,678,816x = 10,053,840 × 10,053,840
  4. Step 4: Simplify right side
    4,678,816x = 101,079,698,745,600
  5. Step 5: Solve for x
    x = 101,079,698,745,600/4,678,816
  6. Step 6: Final answer
    x = 21,603,691.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.