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Finding the Third Proportional to 4,176,492.75 and 6,645,687.56

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Solution

The third proportional to 4,176,492.75 and 6,645,687.56 is: 10,574,701.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176,492.75 : 6,645,687.56 = 6,645,687.56 : x
  2. Step 2: Convert to fraction form
    4,176,492.75/6,645,687.56 = 6,645,687.56/x
  3. Step 3: Cross multiply
    4,176,492.75x = 6,645,687.56 × 6,645,687.56
  4. Step 4: Simplify right side
    4,176,492.75x = 44,165,163,178,367.19
  5. Step 5: Solve for x
    x = 44,165,163,178,367.19/4,176,492.75
  6. Step 6: Final answer
    x = 10,574,701.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.