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Finding the Third Proportional to 472,949,868 and 1,105,024,333

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Solution

The third proportional to 472,949,868 and 1,105,024,333 is: 2,581,835,537.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,949,868 : 1,105,024,333 = 1,105,024,333 : x
  2. Step 2: Convert to fraction form
    472,949,868/1,105,024,333 = 1,105,024,333/x
  3. Step 3: Cross multiply
    472,949,868x = 1,105,024,333 × 1,105,024,333
  4. Step 4: Simplify right side
    472,949,868x = 1,221,078,776,522,094,848
  5. Step 5: Solve for x
    x = 1,221,078,776,522,094,848/472,949,868
  6. Step 6: Final answer
    x = 2,581,835,537.21

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.