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Finding the Third Proportional to 52,509,279,349 and 112,982,560,527

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Solution

The third proportional to 52,509,279,349 and 112,982,560,527 is: 243,101,012,649.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,509,279,349 : 112,982,560,527 = 112,982,560,527 : x
  2. Step 2: Convert to fraction form
    52,509,279,349/112,982,560,527 = 112,982,560,527/x
  3. Step 3: Cross multiply
    52,509,279,349x = 112,982,560,527 × 112,982,560,527
  4. Step 4: Simplify right side
    52,509,279,349x = 12,765,058,983,237,219,516,416
  5. Step 5: Solve for x
    x = 12,765,058,983,237,219,516,416/52,509,279,349
  6. Step 6: Final answer
    x = 243,101,012,649.50

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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.