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Finding the Third Proportional to 3,105,428 and 6,786,584

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Solution

The third proportional to 3,105,428 and 6,786,584 is: 14,831,360.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105,428 : 6,786,584 = 6,786,584 : x
  2. Step 2: Convert to fraction form
    3,105,428/6,786,584 = 6,786,584/x
  3. Step 3: Cross multiply
    3,105,428x = 6,786,584 × 6,786,584
  4. Step 4: Simplify right side
    3,105,428x = 46,057,722,389,056
  5. Step 5: Solve for x
    x = 46,057,722,389,056/3,105,428
  6. Step 6: Final answer
    x = 14,831,360.57

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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.