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Finding the Third Proportional to 519,938,567,740 and 1,132,181,572,183

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Solution

The third proportional to 519,938,567,740 and 1,132,181,572,183 is: 2,465,358,778,754.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,938,567,740 : 1,132,181,572,183 = 1,132,181,572,183 : x
  2. Step 2: Convert to fraction form
    519,938,567,740/1,132,181,572,183 = 1,132,181,572,183/x
  3. Step 3: Cross multiply
    519,938,567,740x = 1,132,181,572,183 × 1,132,181,572,183
  4. Step 4: Simplify right side
    519,938,567,740x = 1,281,835,112,390,769,535,614,976
  5. Step 5: Solve for x
    x = 1,281,835,112,390,769,535,614,976/519,938,567,740
  6. Step 6: Final answer
    x = 2,465,358,778,754.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.