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Finding the Third Proportional to 10,105,584 and 15,533,172

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Solution

The third proportional to 10,105,584 and 15,533,172 is: 23,875,852.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105,584 : 15,533,172 = 15,533,172 : x
  2. Step 2: Convert to fraction form
    10,105,584/15,533,172 = 15,533,172/x
  3. Step 3: Cross multiply
    10,105,584x = 15,533,172 × 15,533,172
  4. Step 4: Simplify right side
    10,105,584x = 241,279,432,381,584
  5. Step 5: Solve for x
    x = 241,279,432,381,584/10,105,584
  6. Step 6: Final answer
    x = 23,875,852.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.