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Finding the Third Proportional to 5,400,737 and 12,748,949

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Solution

The third proportional to 5,400,737 and 12,748,949 is: 30,095,096.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400,737 : 12,748,949 = 12,748,949 : x
  2. Step 2: Convert to fraction form
    5,400,737/12,748,949 = 12,748,949/x
  3. Step 3: Cross multiply
    5,400,737x = 12,748,949 × 12,748,949
  4. Step 4: Simplify right side
    5,400,737x = 162,535,700,604,601
  5. Step 5: Solve for x
    x = 162,535,700,604,601/5,400,737
  6. Step 6: Final answer
    x = 30,095,096.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.