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Finding the Third Proportional to 52,760,988 and 114,546,024

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Solution

The third proportional to 52,760,988 and 114,546,024 is: 248,683,584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,760,988 : 114,546,024 = 114,546,024 : x
  2. Step 2: Convert to fraction form
    52,760,988/114,546,024 = 114,546,024/x
  3. Step 3: Cross multiply
    52,760,988x = 114,546,024 × 114,546,024
  4. Step 4: Simplify right side
    52,760,988x = 13,120,791,614,208,576
  5. Step 5: Solve for x
    x = 13,120,791,614,208,576/52,760,988
  6. Step 6: Final answer
    x = 248,683,584.44

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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.