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Finding the Third Proportional to 13,160,035 and 20,457,713

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Solution

The third proportional to 13,160,035 and 20,457,713 is: 31,802,196.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,160,035 : 20,457,713 = 20,457,713 : x
  2. Step 2: Convert to fraction form
    13,160,035/20,457,713 = 20,457,713/x
  3. Step 3: Cross multiply
    13,160,035x = 20,457,713 × 20,457,713
  4. Step 4: Simplify right side
    13,160,035x = 418,518,021,190,369
  5. Step 5: Solve for x
    x = 418,518,021,190,369/13,160,035
  6. Step 6: Final answer
    x = 31,802,196.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.