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Finding the Third Proportional to 13,863,033 and 30,913,608

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Solution

The third proportional to 13,863,033 and 30,913,608 is: 68,935,214.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863,033 : 30,913,608 = 30,913,608 : x
  2. Step 2: Convert to fraction form
    13,863,033/30,913,608 = 30,913,608/x
  3. Step 3: Cross multiply
    13,863,033x = 30,913,608 × 30,913,608
  4. Step 4: Simplify right side
    13,863,033x = 955,651,159,577,664
  5. Step 5: Solve for x
    x = 955,651,159,577,664/13,863,033
  6. Step 6: Final answer
    x = 68,935,214.94

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.