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Finding the Third Proportional to 10,483,566 and 22,424,438

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Solution

The third proportional to 10,483,566 and 22,424,438 is: 47,966,066.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483,566 : 22,424,438 = 22,424,438 : x
  2. Step 2: Convert to fraction form
    10,483,566/22,424,438 = 22,424,438/x
  3. Step 3: Cross multiply
    10,483,566x = 22,424,438 × 22,424,438
  4. Step 4: Simplify right side
    10,483,566x = 502,855,419,615,844
  5. Step 5: Solve for x
    x = 502,855,419,615,844/10,483,566
  6. Step 6: Final answer
    x = 47,966,066.09

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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.