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Finding the Third Proportional to 13,896,072 and 30,184,296.75

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Solution

The third proportional to 13,896,072 and 30,184,296.75 is: 65,564,698.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,896,072 : 30,184,296.75 = 30,184,296.75 : x
  2. Step 2: Convert to fraction form
    13,896,072/30,184,296.75 = 30,184,296.75/x
  3. Step 3: Cross multiply
    13,896,072x = 30,184,296.75 × 30,184,296.75
  4. Step 4: Simplify right side
    13,896,072x = 911,091,770,292,060.50
  5. Step 5: Solve for x
    x = 911,091,770,292,060.50/13,896,072
  6. Step 6: Final answer
    x = 65,564,698.45

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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.