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Finding the Third Proportional to 49,178,745 and 73,369,536

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Solution

The third proportional to 49,178,745 and 73,369,536 is: 109,459,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,178,745 : 73,369,536 = 73,369,536 : x
  2. Step 2: Convert to fraction form
    49,178,745/73,369,536 = 73,369,536/x
  3. Step 3: Cross multiply
    49,178,745x = 73,369,536 × 73,369,536
  4. Step 4: Simplify right side
    49,178,745x = 5,383,088,812,855,296
  5. Step 5: Solve for x
    x = 5,383,088,812,855,296/49,178,745
  6. Step 6: Final answer
    x = 109,459,662.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.