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Finding the Third Proportional to 52,900,864 and 114,629,674

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Solution

The third proportional to 52,900,864 and 114,629,674 is: 248,388,422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,900,864 : 114,629,674 = 114,629,674 : x
  2. Step 2: Convert to fraction form
    52,900,864/114,629,674 = 114,629,674/x
  3. Step 3: Cross multiply
    52,900,864x = 114,629,674 × 114,629,674
  4. Step 4: Simplify right side
    52,900,864x = 13,139,962,161,346,276
  5. Step 5: Solve for x
    x = 13,139,962,161,346,276/52,900,864
  6. Step 6: Final answer
    x = 248,388,422.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.