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Finding the Third Proportional to 30,512,471 and 46,052,456

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Solution

The third proportional to 30,512,471 and 46,052,456 is: 69,506,946.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,512,471 : 46,052,456 = 46,052,456 : x
  2. Step 2: Convert to fraction form
    30,512,471/46,052,456 = 46,052,456/x
  3. Step 3: Cross multiply
    30,512,471x = 46,052,456 × 46,052,456
  4. Step 4: Simplify right side
    30,512,471x = 2,120,828,703,631,936
  5. Step 5: Solve for x
    x = 2,120,828,703,631,936/30,512,471
  6. Step 6: Final answer
    x = 69,506,946.97

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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.