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Finding the Third Proportional to 519,938,567,750 and 1,132,181,572,204

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Solution

The third proportional to 519,938,567,750 and 1,132,181,572,204 is: 2,465,358,778,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,938,567,750 : 1,132,181,572,204 = 1,132,181,572,204 : x
  2. Step 2: Convert to fraction form
    519,938,567,750/1,132,181,572,204 = 1,132,181,572,204/x
  3. Step 3: Cross multiply
    519,938,567,750x = 1,132,181,572,204 × 1,132,181,572,204
  4. Step 4: Simplify right side
    519,938,567,750x = 1,281,835,112,438,321,266,032,640
  5. Step 5: Solve for x
    x = 1,281,835,112,438,321,266,032,640/519,938,567,750
  6. Step 6: Final answer
    x = 2,465,358,778,798.38

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