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Finding the Third Proportional to 5,970,116 and 9,005,127

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Solution

The third proportional to 5,970,116 and 9,005,127 is: 13,583,037.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970,116 : 9,005,127 = 9,005,127 : x
  2. Step 2: Convert to fraction form
    5,970,116/9,005,127 = 9,005,127/x
  3. Step 3: Cross multiply
    5,970,116x = 9,005,127 × 9,005,127
  4. Step 4: Simplify right side
    5,970,116x = 81,092,312,286,129
  5. Step 5: Solve for x
    x = 81,092,312,286,129/5,970,116
  6. Step 6: Final answer
    x = 13,583,037.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.