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Finding the Third Proportional to 2,409,977,268 and 3,724,029,414

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Solution

The third proportional to 2,409,977,268 and 3,724,029,414 is: 5,754,575,057.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409,977,268 : 3,724,029,414 = 3,724,029,414 : x
  2. Step 2: Convert to fraction form
    2,409,977,268/3,724,029,414 = 3,724,029,414/x
  3. Step 3: Cross multiply
    2,409,977,268x = 3,724,029,414 × 3,724,029,414
  4. Step 4: Simplify right side
    2,409,977,268x = 13,868,395,076,337,182,720
  5. Step 5: Solve for x
    x = 13,868,395,076,337,182,720/2,409,977,268
  6. Step 6: Final answer
    x = 5,754,575,057.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.