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Finding the Third Proportional to 5,300,025 and 11,439,282

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Solution

The third proportional to 5,300,025 and 11,439,282 is: 24,689,916.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300,025 : 11,439,282 = 11,439,282 : x
  2. Step 2: Convert to fraction form
    5,300,025/11,439,282 = 11,439,282/x
  3. Step 3: Cross multiply
    5,300,025x = 11,439,282 × 11,439,282
  4. Step 4: Simplify right side
    5,300,025x = 130,857,172,675,524
  5. Step 5: Solve for x
    x = 130,857,172,675,524/5,300,025
  6. Step 6: Final answer
    x = 24,689,916.12

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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.