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Finding the Third Proportional to 52,116,756 and 114,511,440

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Solution

The third proportional to 52,116,756 and 114,511,440 is: 251,605,642.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,116,756 : 114,511,440 = 114,511,440 : x
  2. Step 2: Convert to fraction form
    52,116,756/114,511,440 = 114,511,440/x
  3. Step 3: Cross multiply
    52,116,756x = 114,511,440 × 114,511,440
  4. Step 4: Simplify right side
    52,116,756x = 13,112,869,890,873,600
  5. Step 5: Solve for x
    x = 13,112,869,890,873,600/52,116,756
  6. Step 6: Final answer
    x = 251,605,642.74

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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.