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Finding the Third Proportional to 3,205,638,158 and 4,833,683,765

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Solution

The third proportional to 3,205,638,158 and 4,833,683,765 is: 7,288,563,957.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205,638,158 : 4,833,683,765 = 4,833,683,765 : x
  2. Step 2: Convert to fraction form
    3,205,638,158/4,833,683,765 = 4,833,683,765/x
  3. Step 3: Cross multiply
    3,205,638,158x = 4,833,683,765 × 4,833,683,765
  4. Step 4: Simplify right side
    3,205,638,158x = 23,364,498,740,024,573,952
  5. Step 5: Solve for x
    x = 23,364,498,740,024,573,952/3,205,638,158
  6. Step 6: Final answer
    x = 7,288,563,957.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.