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Finding the Third Proportional to 266,266,078,296 and 570,233,132,254.50

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Solution

The third proportional to 266,266,078,296 and 570,233,132,254.50 is: 1,221,206,348,182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,266,078,296 : 570,233,132,254.50 = 570,233,132,254.50 : x
  2. Step 2: Convert to fraction form
    266,266,078,296/570,233,132,254.50 = 570,233,132,254.50/x
  3. Step 3: Cross multiply
    266,266,078,296x = 570,233,132,254.50 × 570,233,132,254.50
  4. Step 4: Simplify right side
    266,266,078,296x = 325,165,825,120,778,099,621,888
  5. Step 5: Solve for x
    x = 325,165,825,120,778,099,621,888/266,266,078,296
  6. Step 6: Final answer
    x = 1,221,206,348,182.67

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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.