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Finding the Third Proportional to 3,234,422,111 and 4,838,703,600

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Solution

The third proportional to 3,234,422,111 and 4,838,703,600 is: 7,238,712,736.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234,422,111 : 4,838,703,600 = 4,838,703,600 : x
  2. Step 2: Convert to fraction form
    3,234,422,111/4,838,703,600 = 4,838,703,600/x
  3. Step 3: Cross multiply
    3,234,422,111x = 4,838,703,600 × 4,838,703,600
  4. Step 4: Simplify right side
    3,234,422,111x = 23,413,052,528,652,959,744
  5. Step 5: Solve for x
    x = 23,413,052,528,652,959,744/3,234,422,111
  6. Step 6: Final answer
    x = 7,238,712,736.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.