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Finding the Third Proportional to 51,657,912 and 113,392,332

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Solution

The third proportional to 51,657,912 and 113,392,332 is: 248,903,226.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,657,912 : 113,392,332 = 113,392,332 : x
  2. Step 2: Convert to fraction form
    51,657,912/113,392,332 = 113,392,332/x
  3. Step 3: Cross multiply
    51,657,912x = 113,392,332 × 113,392,332
  4. Step 4: Simplify right side
    51,657,912x = 12,857,820,956,398,224
  5. Step 5: Solve for x
    x = 12,857,820,956,398,224/51,657,912
  6. Step 6: Final answer
    x = 248,903,226.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.