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Finding the Third Proportional to 7,342,875.75 and 10,322,127.75

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Solution

The third proportional to 7,342,875.75 and 10,322,127.75 is: 14,510,162.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,342,875.75 : 10,322,127.75 = 10,322,127.75 : x
  2. Step 2: Convert to fraction form
    7,342,875.75/10,322,127.75 = 10,322,127.75/x
  3. Step 3: Cross multiply
    7,342,875.75x = 10,322,127.75 × 10,322,127.75
  4. Step 4: Simplify right side
    7,342,875.75x = 106,546,321,287,320.06
  5. Step 5: Solve for x
    x = 106,546,321,287,320.06/7,342,875.75
  6. Step 6: Final answer
    x = 14,510,162.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.