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Finding the Third Proportional to 4,678,842 and 6,856,039

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Solution

The third proportional to 4,678,842 and 6,856,039 is: 10,046,347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678,842 : 6,856,039 = 6,856,039 : x
  2. Step 2: Convert to fraction form
    4,678,842/6,856,039 = 6,856,039/x
  3. Step 3: Cross multiply
    4,678,842x = 6,856,039 × 6,856,039
  4. Step 4: Simplify right side
    4,678,842x = 47,005,270,769,521
  5. Step 5: Solve for x
    x = 47,005,270,769,521/4,678,842
  6. Step 6: Final answer
    x = 10,046,347.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.