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Finding the Third Proportional to 4,626,948 and 6,913,206

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Solution

The third proportional to 4,626,948 and 6,913,206 is: 10,329,145.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626,948 : 6,913,206 = 6,913,206 : x
  2. Step 2: Convert to fraction form
    4,626,948/6,913,206 = 6,913,206/x
  3. Step 3: Cross multiply
    4,626,948x = 6,913,206 × 6,913,206
  4. Step 4: Simplify right side
    4,626,948x = 47,792,417,198,436
  5. Step 5: Solve for x
    x = 47,792,417,198,436/4,626,948
  6. Step 6: Final answer
    x = 10,329,145.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.