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Finding the Third Proportional to 4,694,768 and 10,286,206

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Solution

The third proportional to 4,694,768 and 10,286,206 is: 22,537,010.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694,768 : 10,286,206 = 10,286,206 : x
  2. Step 2: Convert to fraction form
    4,694,768/10,286,206 = 10,286,206/x
  3. Step 3: Cross multiply
    4,694,768x = 10,286,206 × 10,286,206
  4. Step 4: Simplify right side
    4,694,768x = 105,806,033,874,436
  5. Step 5: Solve for x
    x = 105,806,033,874,436/4,694,768
  6. Step 6: Final answer
    x = 22,537,010.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.