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Finding the Third Proportional to 37,517,725.50 and 81,297,297

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Solution

The third proportional to 37,517,725.50 and 81,297,297 is: 176,163,411.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,517,725.50 : 81,297,297 = 81,297,297 : x
  2. Step 2: Convert to fraction form
    37,517,725.50/81,297,297 = 81,297,297/x
  3. Step 3: Cross multiply
    37,517,725.50x = 81,297,297 × 81,297,297
  4. Step 4: Simplify right side
    37,517,725.50x = 6,609,250,499,506,209
  5. Step 5: Solve for x
    x = 6,609,250,499,506,209/37,517,725.50
  6. Step 6: Final answer
    x = 176,163,411.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.