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Finding the Third Proportional to 2,765,014 and 6,014,729

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Solution

The third proportional to 2,765,014 and 6,014,729 is: 13,083,827.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765,014 : 6,014,729 = 6,014,729 : x
  2. Step 2: Convert to fraction form
    2,765,014/6,014,729 = 6,014,729/x
  3. Step 3: Cross multiply
    2,765,014x = 6,014,729 × 6,014,729
  4. Step 4: Simplify right side
    2,765,014x = 36,176,964,943,441
  5. Step 5: Solve for x
    x = 36,176,964,943,441/2,765,014
  6. Step 6: Final answer
    x = 13,083,827.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.