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Finding the Third Proportional to 13,896,069 and 30,184,287.75

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Solution

The third proportional to 13,896,069 and 30,184,287.75 is: 65,564,673.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896,069 : 30,184,287.75 = 30,184,287.75 : x
  2. Step 2: Convert to fraction form
    13,896,069/30,184,287.75 = 30,184,287.75/x
  3. Step 3: Cross multiply
    13,896,069x = 30,184,287.75 × 30,184,287.75
  4. Step 4: Simplify right side
    13,896,069x = 911,091,226,974,800
  5. Step 5: Solve for x
    x = 911,091,226,974,800/13,896,069
  6. Step 6: Final answer
    x = 65,564,673.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.