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Finding the Third Proportional to 13,864,623.19 and 21,581,640.63

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Solution

The third proportional to 13,864,623.19 and 21,581,640.63 is: 33,593,932.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,864,623.19 : 21,581,640.63 = 21,581,640.63 : x
  2. Step 2: Convert to fraction form
    13,864,623.19/21,581,640.63 = 21,581,640.63/x
  3. Step 3: Cross multiply
    13,864,623.19x = 21,581,640.63 × 21,581,640.63
  4. Step 4: Simplify right side
    13,864,623.19x = 465,767,212,403,842
  5. Step 5: Solve for x
    x = 465,767,212,403,842/13,864,623.19
  6. Step 6: Final answer
    x = 33,593,932.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.