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Finding the Third Proportional to 10,865,038 and 23,025,463

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Solution

The third proportional to 10,865,038 and 23,025,463 is: 48,796,142.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865,038 : 23,025,463 = 23,025,463 : x
  2. Step 2: Convert to fraction form
    10,865,038/23,025,463 = 23,025,463/x
  3. Step 3: Cross multiply
    10,865,038x = 23,025,463 × 23,025,463
  4. Step 4: Simplify right side
    10,865,038x = 530,171,946,364,369
  5. Step 5: Solve for x
    x = 530,171,946,364,369/10,865,038
  6. Step 6: Final answer
    x = 48,796,142.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.