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Finding the Third Proportional to 52,026,612 and 114,352,695

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Solution

The third proportional to 52,026,612 and 114,352,695 is: 251,343,271.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,026,612 : 114,352,695 = 114,352,695 : x
  2. Step 2: Convert to fraction form
    52,026,612/114,352,695 = 114,352,695/x
  3. Step 3: Cross multiply
    52,026,612x = 114,352,695 × 114,352,695
  4. Step 4: Simplify right side
    52,026,612x = 13,076,538,853,763,024
  5. Step 5: Solve for x
    x = 13,076,538,853,763,024/52,026,612
  6. Step 6: Final answer
    x = 251,343,271.28

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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.