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Finding the Third Proportional to 2,284,275,963 and 3,082,024,588.50

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Solution

The third proportional to 2,284,275,963 and 3,082,024,588.50 is: 4,158,374,783.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284,275,963 : 3,082,024,588.50 = 3,082,024,588.50 : x
  2. Step 2: Convert to fraction form
    2,284,275,963/3,082,024,588.50 = 3,082,024,588.50/x
  3. Step 3: Cross multiply
    2,284,275,963x = 3,082,024,588.50 × 3,082,024,588.50
  4. Step 4: Simplify right side
    2,284,275,963x = 9,498,875,564,118,593,536
  5. Step 5: Solve for x
    x = 9,498,875,564,118,593,536/2,284,275,963
  6. Step 6: Final answer
    x = 4,158,374,783.95

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.