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Finding the Third Proportional to 4,675,427 and 6,335,764

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Solution

The third proportional to 4,675,427 and 6,335,764 is: 8,585,719.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675,427 : 6,335,764 = 6,335,764 : x
  2. Step 2: Convert to fraction form
    4,675,427/6,335,764 = 6,335,764/x
  3. Step 3: Cross multiply
    4,675,427x = 6,335,764 × 6,335,764
  4. Step 4: Simplify right side
    4,675,427x = 40,141,905,463,696
  5. Step 5: Solve for x
    x = 40,141,905,463,696/4,675,427
  6. Step 6: Final answer
    x = 8,585,719.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.