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Finding the Third Proportional to 10,483,563 and 22,424,433

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Solution

The third proportional to 10,483,563 and 22,424,433 is: 47,966,058.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483,563 : 22,424,433 = 22,424,433 : x
  2. Step 2: Convert to fraction form
    10,483,563/22,424,433 = 22,424,433/x
  3. Step 3: Cross multiply
    10,483,563x = 22,424,433 × 22,424,433
  4. Step 4: Simplify right side
    10,483,563x = 502,855,195,371,489
  5. Step 5: Solve for x
    x = 502,855,195,371,489/10,483,563
  6. Step 6: Final answer
    x = 47,966,058.43

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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.