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Finding the Third Proportional to 10,100,068 and 15,671,145

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Solution

The third proportional to 10,100,068 and 15,671,145 is: 24,315,161.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100,068 : 15,671,145 = 15,671,145 : x
  2. Step 2: Convert to fraction form
    10,100,068/15,671,145 = 15,671,145/x
  3. Step 3: Cross multiply
    10,100,068x = 15,671,145 × 15,671,145
  4. Step 4: Simplify right side
    10,100,068x = 245,584,785,611,025
  5. Step 5: Solve for x
    x = 245,584,785,611,025/10,100,068
  6. Step 6: Final answer
    x = 24,315,161.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.