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Finding the Third Proportional to 7,859,529 and 12,497,827.50

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Solution

The third proportional to 7,859,529 and 12,497,827.50 is: 19,873,416.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,859,529 : 12,497,827.50 = 12,497,827.50 : x
  2. Step 2: Convert to fraction form
    7,859,529/12,497,827.50 = 12,497,827.50/x
  3. Step 3: Cross multiply
    7,859,529x = 12,497,827.50 × 12,497,827.50
  4. Step 4: Simplify right side
    7,859,529x = 156,195,692,219,756.25
  5. Step 5: Solve for x
    x = 156,195,692,219,756.25/7,859,529
  6. Step 6: Final answer
    x = 19,873,416.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.