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Finding the Third Proportional to 6,718,364.25 and 14,316,721.88

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Solution

The third proportional to 6,718,364.25 and 14,316,721.88 is: 30,508,694.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,718,364.25 : 14,316,721.88 = 14,316,721.88 : x
  2. Step 2: Convert to fraction form
    6,718,364.25/14,316,721.88 = 14,316,721.88/x
  3. Step 3: Cross multiply
    6,718,364.25x = 14,316,721.88 × 14,316,721.88
  4. Step 4: Simplify right side
    6,718,364.25x = 204,968,525,246,103.50
  5. Step 5: Solve for x
    x = 204,968,525,246,103.50/6,718,364.25
  6. Step 6: Final answer
    x = 30,508,694.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.