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Finding the Third Proportional to 22,836,654 and 49,238,254.69

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Solution

The third proportional to 22,836,654 and 49,238,254.69 is: 106,162,913.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,836,654 : 49,238,254.69 = 49,238,254.69 : x
  2. Step 2: Convert to fraction form
    22,836,654/49,238,254.69 = 49,238,254.69/x
  3. Step 3: Cross multiply
    22,836,654x = 49,238,254.69 × 49,238,254.69
  4. Step 4: Simplify right side
    22,836,654x = 2,424,405,724,671,115.50
  5. Step 5: Solve for x
    x = 2,424,405,724,671,115.50/22,836,654
  6. Step 6: Final answer
    x = 106,162,913.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.