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Finding the Third Proportional to 4,766,148 and 10,214,586

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Solution

The third proportional to 4,766,148 and 10,214,586 is: 21,891,424.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766,148 : 10,214,586 = 10,214,586 : x
  2. Step 2: Convert to fraction form
    4,766,148/10,214,586 = 10,214,586/x
  3. Step 3: Cross multiply
    4,766,148x = 10,214,586 × 10,214,586
  4. Step 4: Simplify right side
    4,766,148x = 104,337,767,151,396
  5. Step 5: Solve for x
    x = 104,337,767,151,396/4,766,148
  6. Step 6: Final answer
    x = 21,891,424.09

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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.