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Finding the Third Proportional to 13,533,028 and 31,578,148

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Solution

The third proportional to 13,533,028 and 31,578,148 is: 73,684,871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,533,028 : 31,578,148 = 31,578,148 : x
  2. Step 2: Convert to fraction form
    13,533,028/31,578,148 = 31,578,148/x
  3. Step 3: Cross multiply
    13,533,028x = 31,578,148 × 31,578,148
  4. Step 4: Simplify right side
    13,533,028x = 997,179,431,109,904
  5. Step 5: Solve for x
    x = 997,179,431,109,904/13,533,028
  6. Step 6: Final answer
    x = 73,684,871.64

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.