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Finding the Third Proportional to 6,713,429.81 and 10,262,794.31

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Solution

The third proportional to 6,713,429.81 and 10,262,794.31 is: 15,688,694.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713,429.81 : 10,262,794.31 = 10,262,794.31 : x
  2. Step 2: Convert to fraction form
    6,713,429.81/10,262,794.31 = 10,262,794.31/x
  3. Step 3: Cross multiply
    6,713,429.81x = 10,262,794.31 × 10,262,794.31
  4. Step 4: Simplify right side
    6,713,429.81x = 105,324,947,100,682.34
  5. Step 5: Solve for x
    x = 105,324,947,100,682.34/6,713,429.81
  6. Step 6: Final answer
    x = 15,688,694.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.