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Finding the Third Proportional to 13,284,391.50 and 21,692,215.13

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Solution

The third proportional to 13,284,391.50 and 21,692,215.13 is: 35,421,434.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284,391.50 : 21,692,215.13 = 21,692,215.13 : x
  2. Step 2: Convert to fraction form
    13,284,391.50/21,692,215.13 = 21,692,215.13/x
  3. Step 3: Cross multiply
    13,284,391.50x = 21,692,215.13 × 21,692,215.13
  4. Step 4: Simplify right side
    13,284,391.50x = 470,552,197,029,278.75
  5. Step 5: Solve for x
    x = 470,552,197,029,278.75/13,284,391.50
  6. Step 6: Final answer
    x = 35,421,434.02

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.