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Finding the Third Proportional to 10,496,971 and 15,690,807

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Solution

The third proportional to 10,496,971 and 15,690,807 is: 23,454,520.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496,971 : 15,690,807 = 15,690,807 : x
  2. Step 2: Convert to fraction form
    10,496,971/15,690,807 = 15,690,807/x
  3. Step 3: Cross multiply
    10,496,971x = 15,690,807 × 15,690,807
  4. Step 4: Simplify right side
    10,496,971x = 246,201,424,311,249
  5. Step 5: Solve for x
    x = 246,201,424,311,249/10,496,971
  6. Step 6: Final answer
    x = 23,454,520.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.