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Finding the Third Proportional to 45,915,945 and 99,902,841

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Solution

The third proportional to 45,915,945 and 99,902,841 is: 217,366,268.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,915,945 : 99,902,841 = 99,902,841 : x
  2. Step 2: Convert to fraction form
    45,915,945/99,902,841 = 99,902,841/x
  3. Step 3: Cross multiply
    45,915,945x = 99,902,841 × 99,902,841
  4. Step 4: Simplify right side
    45,915,945x = 9,980,577,639,871,280
  5. Step 5: Solve for x
    x = 9,980,577,639,871,280/45,915,945
  6. Step 6: Final answer
    x = 217,366,268.73

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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.