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Finding the Third Proportional to 3,097,696.75 and 6,710,135

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Solution

The third proportional to 3,097,696.75 and 6,710,135 is: 14,535,287.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097,696.75 : 6,710,135 = 6,710,135 : x
  2. Step 2: Convert to fraction form
    3,097,696.75/6,710,135 = 6,710,135/x
  3. Step 3: Cross multiply
    3,097,696.75x = 6,710,135 × 6,710,135
  4. Step 4: Simplify right side
    3,097,696.75x = 45,025,911,718,225
  5. Step 5: Solve for x
    x = 45,025,911,718,225/3,097,696.75
  6. Step 6: Final answer
    x = 14,535,287.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.