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Finding the Third Proportional to 2,857,471 and 6,112,643

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Solution

The third proportional to 2,857,471 and 6,112,643 is: 13,076,039.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,471 : 6,112,643 = 6,112,643 : x
  2. Step 2: Convert to fraction form
    2,857,471/6,112,643 = 6,112,643/x
  3. Step 3: Cross multiply
    2,857,471x = 6,112,643 × 6,112,643
  4. Step 4: Simplify right side
    2,857,471x = 37,364,404,445,449
  5. Step 5: Solve for x
    x = 37,364,404,445,449/2,857,471
  6. Step 6: Final answer
    x = 13,076,039.77

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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.