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Finding the Third Proportional to 3,747,771 and 8,064,038.25

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Solution

The third proportional to 3,747,771 and 8,064,038.25 is: 17,351,303.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747,771 : 8,064,038.25 = 8,064,038.25 : x
  2. Step 2: Convert to fraction form
    3,747,771/8,064,038.25 = 8,064,038.25/x
  3. Step 3: Cross multiply
    3,747,771x = 8,064,038.25 × 8,064,038.25
  4. Step 4: Simplify right side
    3,747,771x = 65,028,712,897,463.06
  5. Step 5: Solve for x
    x = 65,028,712,897,463.06/3,747,771
  6. Step 6: Final answer
    x = 17,351,303.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.