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Finding the Third Proportional to 9,656,401.50 and 13,535,424

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Solution

The third proportional to 9,656,401.50 and 13,535,424 is: 18,972,668.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656,401.50 : 13,535,424 = 13,535,424 : x
  2. Step 2: Convert to fraction form
    9,656,401.50/13,535,424 = 13,535,424/x
  3. Step 3: Cross multiply
    9,656,401.50x = 13,535,424 × 13,535,424
  4. Step 4: Simplify right side
    9,656,401.50x = 183,207,702,859,776
  5. Step 5: Solve for x
    x = 183,207,702,859,776/9,656,401.50
  6. Step 6: Final answer
    x = 18,972,668.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.