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Finding the Third Proportional to 252,885,952,182 and 546,077,539,339.10

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Solution

The third proportional to 252,885,952,182 and 546,077,539,339.10 is: 1,179,190,367,822.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,885,952,182 : 546,077,539,339.10 = 546,077,539,339.10 : x
  2. Step 2: Convert to fraction form
    252,885,952,182/546,077,539,339.10 = 546,077,539,339.10/x
  3. Step 3: Cross multiply
    252,885,952,182x = 546,077,539,339.10 × 546,077,539,339.10
  4. Step 4: Simplify right side
    252,885,952,182x = 298,200,678,970,646,266,380,288
  5. Step 5: Solve for x
    x = 298,200,678,970,646,266,380,288/252,885,952,182
  6. Step 6: Final answer
    x = 1,179,190,367,822.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.