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Finding the Third Proportional to 51,058,622 and 76,407,492

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Solution

The third proportional to 51,058,622 and 76,407,492 is: 114,341,214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,058,622 : 76,407,492 = 76,407,492 : x
  2. Step 2: Convert to fraction form
    51,058,622/76,407,492 = 76,407,492/x
  3. Step 3: Cross multiply
    51,058,622x = 76,407,492 × 76,407,492
  4. Step 4: Simplify right side
    51,058,622x = 5,838,104,833,730,064
  5. Step 5: Solve for x
    x = 5,838,104,833,730,064/51,058,622
  6. Step 6: Final answer
    x = 114,341,214.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.