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Finding the Third Proportional to 10,100,012 and 15,671,065

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Solution

The third proportional to 10,100,012 and 15,671,065 is: 24,315,048.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,100,012 : 15,671,065 = 15,671,065 : x
  2. Step 2: Convert to fraction form
    10,100,012/15,671,065 = 15,671,065/x
  3. Step 3: Cross multiply
    10,100,012x = 15,671,065 × 15,671,065
  4. Step 4: Simplify right side
    10,100,012x = 245,582,278,234,225
  5. Step 5: Solve for x
    x = 245,582,278,234,225/10,100,012
  6. Step 6: Final answer
    x = 24,315,048.16

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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.