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Finding the Third Proportional to 50,072,563 and 106,759,023

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Solution

The third proportional to 50,072,563 and 106,759,023 is: 227,619,444.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,072,563 : 106,759,023 = 106,759,023 : x
  2. Step 2: Convert to fraction form
    50,072,563/106,759,023 = 106,759,023/x
  3. Step 3: Cross multiply
    50,072,563x = 106,759,023 × 106,759,023
  4. Step 4: Simplify right side
    50,072,563x = 11,397,488,991,914,528
  5. Step 5: Solve for x
    x = 11,397,488,991,914,528/50,072,563
  6. Step 6: Final answer
    x = 227,619,444.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.