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Finding the Third Proportional to 52,116,774 and 114,511,476

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Solution

The third proportional to 52,116,774 and 114,511,476 is: 251,605,714.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,116,774 : 114,511,476 = 114,511,476 : x
  2. Step 2: Convert to fraction form
    52,116,774/114,511,476 = 114,511,476/x
  3. Step 3: Cross multiply
    52,116,774x = 114,511,476 × 114,511,476
  4. Step 4: Simplify right side
    52,116,774x = 13,112,878,135,698,576
  5. Step 5: Solve for x
    x = 13,112,878,135,698,576/52,116,774
  6. Step 6: Final answer
    x = 251,605,714.04

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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.