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Finding the Third Proportional to 30,512,469 and 46,052,453

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Solution

The third proportional to 30,512,469 and 46,052,453 is: 69,506,942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,512,469 : 46,052,453 = 46,052,453 : x
  2. Step 2: Convert to fraction form
    30,512,469/46,052,453 = 46,052,453/x
  3. Step 3: Cross multiply
    30,512,469x = 46,052,453 × 46,052,453
  4. Step 4: Simplify right side
    30,512,469x = 2,120,828,427,317,209
  5. Step 5: Solve for x
    x = 2,120,828,427,317,209/30,512,469
  6. Step 6: Final answer
    x = 69,506,942.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.