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Finding the Third Proportional to 52,395,360,972 and 113,970,943,119

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Solution

The third proportional to 52,395,360,972 and 113,970,943,119 is: 247,910,800,392.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,395,360,972 : 113,970,943,119 = 113,970,943,119 : x
  2. Step 2: Convert to fraction form
    52,395,360,972/113,970,943,119 = 113,970,943,119/x
  3. Step 3: Cross multiply
    52,395,360,972x = 113,970,943,119 × 113,970,943,119
  4. Step 4: Simplify right side
    52,395,360,972x = 12,989,375,875,434,334,388,224
  5. Step 5: Solve for x
    x = 12,989,375,875,434,334,388,224/52,395,360,972
  6. Step 6: Final answer
    x = 247,910,800,392.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.