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Finding the Third Proportional to 9,646,002 and 14,922,411

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Solution

The third proportional to 9,646,002 and 14,922,411 is: 23,085,040.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646,002 : 14,922,411 = 14,922,411 : x
  2. Step 2: Convert to fraction form
    9,646,002/14,922,411 = 14,922,411/x
  3. Step 3: Cross multiply
    9,646,002x = 14,922,411 × 14,922,411
  4. Step 4: Simplify right side
    9,646,002x = 222,678,350,052,921
  5. Step 5: Solve for x
    x = 222,678,350,052,921/9,646,002
  6. Step 6: Final answer
    x = 23,085,040.83

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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.