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Finding the Third Proportional to 54,527,066 and 116,715,440

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Solution

The third proportional to 54,527,066 and 116,715,440 is: 249,829,945.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,527,066 : 116,715,440 = 116,715,440 : x
  2. Step 2: Convert to fraction form
    54,527,066/116,715,440 = 116,715,440/x
  3. Step 3: Cross multiply
    54,527,066x = 116,715,440 × 116,715,440
  4. Step 4: Simplify right side
    54,527,066x = 13,622,493,934,393,600
  5. Step 5: Solve for x
    x = 13,622,493,934,393,600/54,527,066
  6. Step 6: Final answer
    x = 249,829,945.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.