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Finding the Third Proportional to 16,586,742 and 34,497,660

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Solution

The third proportional to 16,586,742 and 34,497,660 is: 71,749,385.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586,742 : 34,497,660 = 34,497,660 : x
  2. Step 2: Convert to fraction form
    16,586,742/34,497,660 = 34,497,660/x
  3. Step 3: Cross multiply
    16,586,742x = 34,497,660 × 34,497,660
  4. Step 4: Simplify right side
    16,586,742x = 1,190,088,545,475,600
  5. Step 5: Solve for x
    x = 1,190,088,545,475,600/16,586,742
  6. Step 6: Final answer
    x = 71,749,385.47

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.