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Finding the Third Proportional to 7,205,103 and 15,689,501.44

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Solution

The third proportional to 7,205,103 and 15,689,501.44 is: 34,164,737.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205,103 : 15,689,501.44 = 15,689,501.44 : x
  2. Step 2: Convert to fraction form
    7,205,103/15,689,501.44 = 15,689,501.44/x
  3. Step 3: Cross multiply
    7,205,103x = 15,689,501.44 × 15,689,501.44
  4. Step 4: Simplify right side
    7,205,103x = 246,160,455,357,314.56
  5. Step 5: Solve for x
    x = 246,160,455,357,314.56/7,205,103
  6. Step 6: Final answer
    x = 34,164,737.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.