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Finding the Third Proportional to 7,856,388 and 16,952,184

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Solution

The third proportional to 7,856,388 and 16,952,184 is: 36,578,710.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,856,388 : 16,952,184 = 16,952,184 : x
  2. Step 2: Convert to fraction form
    7,856,388/16,952,184 = 16,952,184/x
  3. Step 3: Cross multiply
    7,856,388x = 16,952,184 × 16,952,184
  4. Step 4: Simplify right side
    7,856,388x = 287,376,542,369,856
  5. Step 5: Solve for x
    x = 287,376,542,369,856/7,856,388
  6. Step 6: Final answer
    x = 36,578,710.52

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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.