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Finding the Third Proportional to 1,623,385,881 and 2,509,628,339

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Solution

The third proportional to 1,623,385,881 and 2,509,628,339 is: 3,879,690,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623,385,881 : 2,509,628,339 = 2,509,628,339 : x
  2. Step 2: Convert to fraction form
    1,623,385,881/2,509,628,339 = 2,509,628,339/x
  3. Step 3: Cross multiply
    1,623,385,881x = 2,509,628,339 × 2,509,628,339
  4. Step 4: Simplify right side
    1,623,385,881x = 6,298,234,399,911,899,136
  5. Step 5: Solve for x
    x = 6,298,234,399,911,899,136/1,623,385,881
  6. Step 6: Final answer
    x = 3,879,690,265.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.