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Finding the Third Proportional to 10,106,564 and 15,550,198

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Solution

The third proportional to 10,106,564 and 15,550,198 is: 23,925,901.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,106,564 : 15,550,198 = 15,550,198 : x
  2. Step 2: Convert to fraction form
    10,106,564/15,550,198 = 15,550,198/x
  3. Step 3: Cross multiply
    10,106,564x = 15,550,198 × 15,550,198
  4. Step 4: Simplify right side
    10,106,564x = 241,808,657,839,204
  5. Step 5: Solve for x
    x = 241,808,657,839,204/10,106,564
  6. Step 6: Final answer
    x = 23,925,901.80

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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.