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Finding the Third Proportional to 3,234,743,858 and 4,622,533,263

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Solution

The third proportional to 3,234,743,858 and 4,622,533,263 is: 6,605,720,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234,743,858 : 4,622,533,263 = 4,622,533,263 : x
  2. Step 2: Convert to fraction form
    3,234,743,858/4,622,533,263 = 4,622,533,263/x
  3. Step 3: Cross multiply
    3,234,743,858x = 4,622,533,263 × 4,622,533,263
  4. Step 4: Simplify right side
    3,234,743,858x = 21,367,813,767,541,428,224
  5. Step 5: Solve for x
    x = 21,367,813,767,541,428,224/3,234,743,858
  6. Step 6: Final answer
    x = 6,605,720,485.32

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.