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Finding the Third Proportional to 3,073,089 and 6,638,561

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Solution

The third proportional to 3,073,089 and 6,638,561 is: 14,340,779.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,073,089 : 6,638,561 = 6,638,561 : x
  2. Step 2: Convert to fraction form
    3,073,089/6,638,561 = 6,638,561/x
  3. Step 3: Cross multiply
    3,073,089x = 6,638,561 × 6,638,561
  4. Step 4: Simplify right side
    3,073,089x = 44,070,492,150,721
  5. Step 5: Solve for x
    x = 44,070,492,150,721/3,073,089
  6. Step 6: Final answer
    x = 14,340,779.64

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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.