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Finding the Third Proportional to 6,193,492.88 and 13,283,640.56

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Solution

The third proportional to 6,193,492.88 and 13,283,640.56 is: 28,490,402.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193,492.88 : 13,283,640.56 = 13,283,640.56 : x
  2. Step 2: Convert to fraction form
    6,193,492.88/13,283,640.56 = 13,283,640.56/x
  3. Step 3: Cross multiply
    6,193,492.88x = 13,283,640.56 × 13,283,640.56
  4. Step 4: Simplify right side
    6,193,492.88x = 176,455,106,593,695.31
  5. Step 5: Solve for x
    x = 176,455,106,593,695.31/6,193,492.88
  6. Step 6: Final answer
    x = 28,490,402.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.