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Finding the Third Proportional to 9,264,742.50 and 13,365,612

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Solution

The third proportional to 9,264,742.50 and 13,365,612 is: 19,281,656.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264,742.50 : 13,365,612 = 13,365,612 : x
  2. Step 2: Convert to fraction form
    9,264,742.50/13,365,612 = 13,365,612/x
  3. Step 3: Cross multiply
    9,264,742.50x = 13,365,612 × 13,365,612
  4. Step 4: Simplify right side
    9,264,742.50x = 178,639,584,134,544
  5. Step 5: Solve for x
    x = 178,639,584,134,544/9,264,742.50
  6. Step 6: Final answer
    x = 19,281,656.68

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.