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Finding the Third Proportional to 52,026,596 and 114,352,672

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Solution

The third proportional to 52,026,596 and 114,352,672 is: 251,343,247.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,026,596 : 114,352,672 = 114,352,672 : x
  2. Step 2: Convert to fraction form
    52,026,596/114,352,672 = 114,352,672/x
  3. Step 3: Cross multiply
    52,026,596x = 114,352,672 × 114,352,672
  4. Step 4: Simplify right side
    52,026,596x = 13,076,533,593,539,584
  5. Step 5: Solve for x
    x = 13,076,533,593,539,584/52,026,596
  6. Step 6: Final answer
    x = 251,343,247.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.