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Finding the Third Proportional to 4,935,400 and 11,424,364

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Solution

The third proportional to 4,935,400 and 11,424,364 is: 26,444,886.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935,400 : 11,424,364 = 11,424,364 : x
  2. Step 2: Convert to fraction form
    4,935,400/11,424,364 = 11,424,364/x
  3. Step 3: Cross multiply
    4,935,400x = 11,424,364 × 11,424,364
  4. Step 4: Simplify right side
    4,935,400x = 130,516,092,804,496
  5. Step 5: Solve for x
    x = 130,516,092,804,496/4,935,400
  6. Step 6: Final answer
    x = 26,444,886.49

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.