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Finding the Third Proportional to 7,943,660 and 16,971,728

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Solution

The third proportional to 7,943,660 and 16,971,728 is: 36,260,307.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,943,660 : 16,971,728 = 16,971,728 : x
  2. Step 2: Convert to fraction form
    7,943,660/16,971,728 = 16,971,728/x
  3. Step 3: Cross multiply
    7,943,660x = 16,971,728 × 16,971,728
  4. Step 4: Simplify right side
    7,943,660x = 288,039,551,305,984
  5. Step 5: Solve for x
    x = 288,039,551,305,984/7,943,660
  6. Step 6: Final answer
    x = 36,260,307.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.