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Finding the Third Proportional to 4,616,840 and 10,016,140

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Solution

The third proportional to 4,616,840 and 10,016,140 is: 21,729,810.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616,840 : 10,016,140 = 10,016,140 : x
  2. Step 2: Convert to fraction form
    4,616,840/10,016,140 = 10,016,140/x
  3. Step 3: Cross multiply
    4,616,840x = 10,016,140 × 10,016,140
  4. Step 4: Simplify right side
    4,616,840x = 100,323,060,499,600
  5. Step 5: Solve for x
    x = 100,323,060,499,600/4,616,840
  6. Step 6: Final answer
    x = 21,729,810.97

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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.