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Finding the Third Proportional to 15,969,894.75 and 34,742,309.63

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Solution

The third proportional to 15,969,894.75 and 34,742,309.63 is: 75,581,467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,969,894.75 : 34,742,309.63 = 34,742,309.63 : x
  2. Step 2: Convert to fraction form
    15,969,894.75/34,742,309.63 = 34,742,309.63/x
  3. Step 3: Cross multiply
    15,969,894.75x = 34,742,309.63 × 34,742,309.63
  4. Step 4: Simplify right side
    15,969,894.75x = 1,207,028,078,079,367.75
  5. Step 5: Solve for x
    x = 1,207,028,078,079,367.75/15,969,894.75
  6. Step 6: Final answer
    x = 75,581,467.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.