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Finding the Third Proportional to 6,724,802.25 and 13,928,109.47

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Solution

The third proportional to 6,724,802.25 and 13,928,109.47 is: 28,847,277.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724,802.25 : 13,928,109.47 = 13,928,109.47 : x
  2. Step 2: Convert to fraction form
    6,724,802.25/13,928,109.47 = 13,928,109.47/x
  3. Step 3: Cross multiply
    6,724,802.25x = 13,928,109.47 × 13,928,109.47
  4. Step 4: Simplify right side
    6,724,802.25x = 193,992,233,373,483.41
  5. Step 5: Solve for x
    x = 193,992,233,373,483.41/6,724,802.25
  6. Step 6: Final answer
    x = 28,847,277.01

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.