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Finding the Third Proportional to 2,829,821 and 6,107,784

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Solution

The third proportional to 2,829,821 and 6,107,784 is: 13,182,821.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829,821 : 6,107,784 = 6,107,784 : x
  2. Step 2: Convert to fraction form
    2,829,821/6,107,784 = 6,107,784/x
  3. Step 3: Cross multiply
    2,829,821x = 6,107,784 × 6,107,784
  4. Step 4: Simplify right side
    2,829,821x = 37,305,025,390,656
  5. Step 5: Solve for x
    x = 37,305,025,390,656/2,829,821
  6. Step 6: Final answer
    x = 13,182,821.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.