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Finding the Third Proportional to 2,772,306 and 6,066,387

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Solution

The third proportional to 2,772,306 and 6,066,387 is: 13,274,527.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772,306 : 6,066,387 = 6,066,387 : x
  2. Step 2: Convert to fraction form
    2,772,306/6,066,387 = 6,066,387/x
  3. Step 3: Cross multiply
    2,772,306x = 6,066,387 × 6,066,387
  4. Step 4: Simplify right side
    2,772,306x = 36,801,051,233,769
  5. Step 5: Solve for x
    x = 36,801,051,233,769/2,772,306
  6. Step 6: Final answer
    x = 13,274,527.14

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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.