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Finding the Third Proportional to 10,106,584 and 15,550,230

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Solution

The third proportional to 10,106,584 and 15,550,230 is: 23,925,952.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106,584 : 15,550,230 = 15,550,230 : x
  2. Step 2: Convert to fraction form
    10,106,584/15,550,230 = 15,550,230/x
  3. Step 3: Cross multiply
    10,106,584x = 15,550,230 × 15,550,230
  4. Step 4: Simplify right side
    10,106,584x = 241,809,653,052,900
  5. Step 5: Solve for x
    x = 241,809,653,052,900/10,106,584
  6. Step 6: Final answer
    x = 23,925,952.93

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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.