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Finding the Third Proportional to 7,139,684 and 15,696,543

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Solution

The third proportional to 7,139,684 and 15,696,543 is: 34,508,734.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,139,684 : 15,696,543 = 15,696,543 : x
  2. Step 2: Convert to fraction form
    7,139,684/15,696,543 = 15,696,543/x
  3. Step 3: Cross multiply
    7,139,684x = 15,696,543 × 15,696,543
  4. Step 4: Simplify right side
    7,139,684x = 246,381,462,150,849
  5. Step 5: Solve for x
    x = 246,381,462,150,849/7,139,684
  6. Step 6: Final answer
    x = 34,508,734.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.