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Finding the Third Proportional to 51,440,718 and 109,955,976

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Solution

The third proportional to 51,440,718 and 109,955,976 is: 235,033,979.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,440,718 : 109,955,976 = 109,955,976 : x
  2. Step 2: Convert to fraction form
    51,440,718/109,955,976 = 109,955,976/x
  3. Step 3: Cross multiply
    51,440,718x = 109,955,976 × 109,955,976
  4. Step 4: Simplify right side
    51,440,718x = 12,090,316,658,112,576
  5. Step 5: Solve for x
    x = 12,090,316,658,112,576/51,440,718
  6. Step 6: Final answer
    x = 235,033,979.47

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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.