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Finding the Third Proportional to 411,083,173.09 and 970,114,560.15

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Solution

The third proportional to 411,083,173.09 and 970,114,560.15 is: 2,289,371,887.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,083,173.09 : 970,114,560.15 = 970,114,560.15 : x
  2. Step 2: Convert to fraction form
    411,083,173.09/970,114,560.15 = 970,114,560.15/x
  3. Step 3: Cross multiply
    411,083,173.09x = 970,114,560.15 × 970,114,560.15
  4. Step 4: Simplify right side
    411,083,173.09x = 941,122,259,819,606,784
  5. Step 5: Solve for x
    x = 941,122,259,819,606,784/411,083,173.09
  6. Step 6: Final answer
    x = 2,289,371,887.31

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.