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Finding the Third Proportional to 3,380,365.41 and 7,971,770.67

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Solution

The third proportional to 3,380,365.41 and 7,971,770.67 is: 18,799,484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380,365.41 : 7,971,770.67 = 7,971,770.67 : x
  2. Step 2: Convert to fraction form
    3,380,365.41/7,971,770.67 = 7,971,770.67/x
  3. Step 3: Cross multiply
    3,380,365.41x = 7,971,770.67 × 7,971,770.67
  4. Step 4: Simplify right side
    3,380,365.41x = 63,549,127,644,966.39
  5. Step 5: Solve for x
    x = 63,549,127,644,966.39/3,380,365.41
  6. Step 6: Final answer
    x = 18,799,484.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.