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Finding the Third Proportional to 37,746,756 and 82,558,572

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Solution

The third proportional to 37,746,756 and 82,558,572 is: 180,569,631.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,746,756 : 82,558,572 = 82,558,572 : x
  2. Step 2: Convert to fraction form
    37,746,756/82,558,572 = 82,558,572/x
  3. Step 3: Cross multiply
    37,746,756x = 82,558,572 × 82,558,572
  4. Step 4: Simplify right side
    37,746,756x = 6,815,917,810,679,184
  5. Step 5: Solve for x
    x = 6,815,917,810,679,184/37,746,756
  6. Step 6: Final answer
    x = 180,569,631.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.