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Finding the Third Proportional to 4,953,669.75 and 6,975,855

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Solution

The third proportional to 4,953,669.75 and 6,975,855 is: 9,823,535.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953,669.75 : 6,975,855 = 6,975,855 : x
  2. Step 2: Convert to fraction form
    4,953,669.75/6,975,855 = 6,975,855/x
  3. Step 3: Cross multiply
    4,953,669.75x = 6,975,855 × 6,975,855
  4. Step 4: Simplify right side
    4,953,669.75x = 48,662,552,981,025
  5. Step 5: Solve for x
    x = 48,662,552,981,025/4,953,669.75
  6. Step 6: Final answer
    x = 9,823,535.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.