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Finding the Third Proportional to 6,766,802 and 15,968,966

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Solution

The third proportional to 6,766,802 and 15,968,966 is: 37,685,139.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766,802 : 15,968,966 = 15,968,966 : x
  2. Step 2: Convert to fraction form
    6,766,802/15,968,966 = 15,968,966/x
  3. Step 3: Cross multiply
    6,766,802x = 15,968,966 × 15,968,966
  4. Step 4: Simplify right side
    6,766,802x = 255,007,875,109,156
  5. Step 5: Solve for x
    x = 255,007,875,109,156/6,766,802
  6. Step 6: Final answer
    x = 37,685,139.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.