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Finding the Third Proportional to 4,823,511 and 10,346,391

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Solution

The third proportional to 4,823,511 and 10,346,391 is: 22,192,922.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823,511 : 10,346,391 = 10,346,391 : x
  2. Step 2: Convert to fraction form
    4,823,511/10,346,391 = 10,346,391/x
  3. Step 3: Cross multiply
    4,823,511x = 10,346,391 × 10,346,391
  4. Step 4: Simplify right side
    4,823,511x = 107,047,806,724,881
  5. Step 5: Solve for x
    x = 107,047,806,724,881/4,823,511
  6. Step 6: Final answer
    x = 22,192,922.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.