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Finding the Third Proportional to 5,113,600 and 11,362,304

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Solution

The third proportional to 5,113,600 and 11,362,304 is: 25,246,783.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,113,600 : 11,362,304 = 11,362,304 : x
  2. Step 2: Convert to fraction form
    5,113,600/11,362,304 = 11,362,304/x
  3. Step 3: Cross multiply
    5,113,600x = 11,362,304 × 11,362,304
  4. Step 4: Simplify right side
    5,113,600x = 129,101,952,188,416
  5. Step 5: Solve for x
    x = 129,101,952,188,416/5,113,600
  6. Step 6: Final answer
    x = 25,246,783.52

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.