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Finding the Third Proportional to 46,532,736 and 99,037,440

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Solution

The third proportional to 46,532,736 and 99,037,440 is: 210,785,252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,532,736 : 99,037,440 = 99,037,440 : x
  2. Step 2: Convert to fraction form
    46,532,736/99,037,440 = 99,037,440/x
  3. Step 3: Cross multiply
    46,532,736x = 99,037,440 × 99,037,440
  4. Step 4: Simplify right side
    46,532,736x = 9,808,414,521,753,600
  5. Step 5: Solve for x
    x = 9,808,414,521,753,600/46,532,736
  6. Step 6: Final answer
    x = 210,785,252.81

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.