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Finding the Third Proportional to 5,474,034 and 7,885,143

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Solution

The third proportional to 5,474,034 and 7,885,143 is: 11,358,256.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,474,034 : 7,885,143 = 7,885,143 : x
  2. Step 2: Convert to fraction form
    5,474,034/7,885,143 = 7,885,143/x
  3. Step 3: Cross multiply
    5,474,034x = 7,885,143 × 7,885,143
  4. Step 4: Simplify right side
    5,474,034x = 62,175,480,130,449
  5. Step 5: Solve for x
    x = 62,175,480,130,449/5,474,034
  6. Step 6: Final answer
    x = 11,358,256.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.