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Finding the Third Proportional to 23,876,737.50 and 51,160,335

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Solution

The third proportional to 23,876,737.50 and 51,160,335 is: 109,620,498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,876,737.50 : 51,160,335 = 51,160,335 : x
  2. Step 2: Convert to fraction form
    23,876,737.50/51,160,335 = 51,160,335/x
  3. Step 3: Cross multiply
    23,876,737.50x = 51,160,335 × 51,160,335
  4. Step 4: Simplify right side
    23,876,737.50x = 2,617,379,877,312,225
  5. Step 5: Solve for x
    x = 2,617,379,877,312,225/23,876,737.50
  6. Step 6: Final answer
    x = 109,620,498.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.