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Finding the Third Proportional to 9,573,355 and 14,369,826

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Solution

The third proportional to 9,573,355 and 14,369,826 is: 21,569,439.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,573,355 : 14,369,826 = 14,369,826 : x
  2. Step 2: Convert to fraction form
    9,573,355/14,369,826 = 14,369,826/x
  3. Step 3: Cross multiply
    9,573,355x = 14,369,826 × 14,369,826
  4. Step 4: Simplify right side
    9,573,355x = 206,491,899,270,276
  5. Step 5: Solve for x
    x = 206,491,899,270,276/9,573,355
  6. Step 6: Final answer
    x = 21,569,439.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.