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Finding the Third Proportional to 4,870,523 and 10,571,011

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Solution

The third proportional to 4,870,523 and 10,571,011 is: 22,943,382.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870,523 : 10,571,011 = 10,571,011 : x
  2. Step 2: Convert to fraction form
    4,870,523/10,571,011 = 10,571,011/x
  3. Step 3: Cross multiply
    4,870,523x = 10,571,011 × 10,571,011
  4. Step 4: Simplify right side
    4,870,523x = 111,746,273,562,121
  5. Step 5: Solve for x
    x = 111,746,273,562,121/4,870,523
  6. Step 6: Final answer
    x = 22,943,382.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.