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Finding the Third Proportional to 6,000,174 and 12,938,571

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Solution

The third proportional to 6,000,174 and 12,938,571 is: 27,900,294.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000,174 : 12,938,571 = 12,938,571 : x
  2. Step 2: Convert to fraction form
    6,000,174/12,938,571 = 12,938,571/x
  3. Step 3: Cross multiply
    6,000,174x = 12,938,571 × 12,938,571
  4. Step 4: Simplify right side
    6,000,174x = 167,406,619,522,041
  5. Step 5: Solve for x
    x = 167,406,619,522,041/6,000,174
  6. Step 6: Final answer
    x = 27,900,294.15

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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.