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Finding the Third Proportional to 3,234,618,828 and 4,622,345,712

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Solution

The third proportional to 3,234,618,828 and 4,622,345,712 is: 6,605,439,780.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234,618,828 : 4,622,345,712 = 4,622,345,712 : x
  2. Step 2: Convert to fraction form
    3,234,618,828/4,622,345,712 = 4,622,345,712/x
  3. Step 3: Cross multiply
    3,234,618,828x = 4,622,345,712 × 4,622,345,712
  4. Step 4: Simplify right side
    3,234,618,828x = 21,366,079,881,244,786,688
  5. Step 5: Solve for x
    x = 21,366,079,881,244,786,688/3,234,618,828
  6. Step 6: Final answer
    x = 6,605,439,780.51

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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.