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Finding the Third Proportional to 52,509,279,356 and 112,982,560,541.50

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Solution

The third proportional to 52,509,279,356 and 112,982,560,541.50 is: 243,101,012,679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,509,279,356 : 112,982,560,541.50 = 112,982,560,541.50 : x
  2. Step 2: Convert to fraction form
    52,509,279,356/112,982,560,541.50 = 112,982,560,541.50/x
  3. Step 3: Cross multiply
    52,509,279,356x = 112,982,560,541.50 × 112,982,560,541.50
  4. Step 4: Simplify right side
    52,509,279,356x = 12,765,058,986,513,713,332,224
  5. Step 5: Solve for x
    x = 12,765,058,986,513,713,332,224/52,509,279,356
  6. Step 6: Final answer
    x = 243,101,012,679.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.