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Finding the Third Proportional to 3,160,341 and 6,825,132

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Solution

The third proportional to 3,160,341 and 6,825,132 is: 14,739,683.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,160,341 : 6,825,132 = 6,825,132 : x
  2. Step 2: Convert to fraction form
    3,160,341/6,825,132 = 6,825,132/x
  3. Step 3: Cross multiply
    3,160,341x = 6,825,132 × 6,825,132
  4. Step 4: Simplify right side
    3,160,341x = 46,582,426,817,424
  5. Step 5: Solve for x
    x = 46,582,426,817,424/3,160,341
  6. Step 6: Final answer
    x = 14,739,683.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.