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Finding the Third Proportional to 34,177,816 and 51,273,516

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Solution

The third proportional to 34,177,816 and 51,273,516 is: 76,920,463.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,177,816 : 51,273,516 = 51,273,516 : x
  2. Step 2: Convert to fraction form
    34,177,816/51,273,516 = 51,273,516/x
  3. Step 3: Cross multiply
    34,177,816x = 51,273,516 × 51,273,516
  4. Step 4: Simplify right side
    34,177,816x = 2,628,973,443,002,256
  5. Step 5: Solve for x
    x = 2,628,973,443,002,256/34,177,816
  6. Step 6: Final answer
    x = 76,920,463.35

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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.