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Finding the Third Proportional to 10,684,018.97 and 16,553,813.06

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Solution

The third proportional to 10,684,018.97 and 16,553,813.06 is: 25,648,468.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684,018.97 : 16,553,813.06 = 16,553,813.06 : x
  2. Step 2: Convert to fraction form
    10,684,018.97/16,553,813.06 = 16,553,813.06/x
  3. Step 3: Cross multiply
    10,684,018.97x = 16,553,813.06 × 16,553,813.06
  4. Step 4: Simplify right side
    10,684,018.97x = 274,028,726,908,195.62
  5. Step 5: Solve for x
    x = 274,028,726,908,195.62/10,684,018.97
  6. Step 6: Final answer
    x = 25,648,468.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.