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Finding the Third Proportional to 5,348,448 and 11,443,392

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Solution

The third proportional to 5,348,448 and 11,443,392 is: 24,483,966.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,348,448 : 11,443,392 = 11,443,392 : x
  2. Step 2: Convert to fraction form
    5,348,448/11,443,392 = 11,443,392/x
  3. Step 3: Cross multiply
    5,348,448x = 11,443,392 × 11,443,392
  4. Step 4: Simplify right side
    5,348,448x = 130,951,220,465,664
  5. Step 5: Solve for x
    x = 130,951,220,465,664/5,348,448
  6. Step 6: Final answer
    x = 24,483,966.28

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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.