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Finding the Third Proportional to 51,716,616 and 109,737,537

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Solution

The third proportional to 51,716,616 and 109,737,537 is: 232,852,184.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,716,616 : 109,737,537 = 109,737,537 : x
  2. Step 2: Convert to fraction form
    51,716,616/109,737,537 = 109,737,537/x
  3. Step 3: Cross multiply
    51,716,616x = 109,737,537 × 109,737,537
  4. Step 4: Simplify right side
    51,716,616x = 12,042,327,026,826,368
  5. Step 5: Solve for x
    x = 12,042,327,026,826,368/51,716,616
  6. Step 6: Final answer
    x = 232,852,184.81

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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.