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Finding the Third Proportional to 13,719,771 and 20,200,617

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Solution

The third proportional to 13,719,771 and 20,200,617 is: 29,742,838.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,719,771 : 20,200,617 = 20,200,617 : x
  2. Step 2: Convert to fraction form
    13,719,771/20,200,617 = 20,200,617/x
  3. Step 3: Cross multiply
    13,719,771x = 20,200,617 × 20,200,617
  4. Step 4: Simplify right side
    13,719,771x = 408,064,927,180,689
  5. Step 5: Solve for x
    x = 408,064,927,180,689/13,719,771
  6. Step 6: Final answer
    x = 29,742,838.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.