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Finding the Third Proportional to 13,533,604 and 31,937,932

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Solution

The third proportional to 13,533,604 and 31,937,932 is: 75,370,278.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533,604 : 31,937,932 = 31,937,932 : x
  2. Step 2: Convert to fraction form
    13,533,604/31,937,932 = 31,937,932/x
  3. Step 3: Cross multiply
    13,533,604x = 31,937,932 × 31,937,932
  4. Step 4: Simplify right side
    13,533,604x = 1,020,031,500,436,624
  5. Step 5: Solve for x
    x = 1,020,031,500,436,624/13,533,604
  6. Step 6: Final answer
    x = 75,370,278.34

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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.