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Finding the Third Proportional to 13,813,679.25 and 30,078,033

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Solution

The third proportional to 13,813,679.25 and 30,078,033 is: 65,492,187.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813,679.25 : 30,078,033 = 30,078,033 : x
  2. Step 2: Convert to fraction form
    13,813,679.25/30,078,033 = 30,078,033/x
  3. Step 3: Cross multiply
    13,813,679.25x = 30,078,033 × 30,078,033
  4. Step 4: Simplify right side
    13,813,679.25x = 904,688,069,149,089
  5. Step 5: Solve for x
    x = 904,688,069,149,089/13,813,679.25
  6. Step 6: Final answer
    x = 65,492,187.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.