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Finding the Third Proportional to 4,051,632 and 6,180,345

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Solution

The third proportional to 4,051,632 and 6,180,345 is: 9,427,476.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051,632 : 6,180,345 = 6,180,345 : x
  2. Step 2: Convert to fraction form
    4,051,632/6,180,345 = 6,180,345/x
  3. Step 3: Cross multiply
    4,051,632x = 6,180,345 × 6,180,345
  4. Step 4: Simplify right side
    4,051,632x = 38,196,664,319,025
  5. Step 5: Solve for x
    x = 38,196,664,319,025/4,051,632
  6. Step 6: Final answer
    x = 9,427,476.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.