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Finding the Third Proportional to 5,938,395 and 12,716,598

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Solution

The third proportional to 5,938,395 and 12,716,598 is: 27,231,577.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,938,395 : 12,716,598 = 12,716,598 : x
  2. Step 2: Convert to fraction form
    5,938,395/12,716,598 = 12,716,598/x
  3. Step 3: Cross multiply
    5,938,395x = 12,716,598 × 12,716,598
  4. Step 4: Simplify right side
    5,938,395x = 161,711,864,693,604
  5. Step 5: Solve for x
    x = 161,711,864,693,604/5,938,395
  6. Step 6: Final answer
    x = 27,231,577.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.