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Finding the Third Proportional to 3,124,822 and 6,847,910

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Solution

The third proportional to 3,124,822 and 6,847,910 is: 15,006,893.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124,822 : 6,847,910 = 6,847,910 : x
  2. Step 2: Convert to fraction form
    3,124,822/6,847,910 = 6,847,910/x
  3. Step 3: Cross multiply
    3,124,822x = 6,847,910 × 6,847,910
  4. Step 4: Simplify right side
    3,124,822x = 46,893,871,368,100
  5. Step 5: Solve for x
    x = 46,893,871,368,100/3,124,822
  6. Step 6: Final answer
    x = 15,006,893.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.