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Finding the Third Proportional to 4,934,145.38 and 7,401,218.06

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Solution

The third proportional to 4,934,145.38 and 7,401,218.06 is: 11,101,827.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934,145.38 : 7,401,218.06 = 7,401,218.06 : x
  2. Step 2: Convert to fraction form
    4,934,145.38/7,401,218.06 = 7,401,218.06/x
  3. Step 3: Cross multiply
    4,934,145.38x = 7,401,218.06 × 7,401,218.06
  4. Step 4: Simplify right side
    4,934,145.38x = 54,778,028,808,676.25
  5. Step 5: Solve for x
    x = 54,778,028,808,676.25/4,934,145.38
  6. Step 6: Final answer
    x = 11,101,827.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.