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Finding the Third Proportional to 10,106,532 and 15,550,146

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Solution

The third proportional to 10,106,532 and 15,550,146 is: 23,925,817.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106,532 : 15,550,146 = 15,550,146 : x
  2. Step 2: Convert to fraction form
    10,106,532/15,550,146 = 15,550,146/x
  3. Step 3: Cross multiply
    10,106,532x = 15,550,146 × 15,550,146
  4. Step 4: Simplify right side
    10,106,532x = 241,807,040,621,316
  5. Step 5: Solve for x
    x = 241,807,040,621,316/10,106,532
  6. Step 6: Final answer
    x = 23,925,817.54

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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.