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Finding the Third Proportional to 2,882,827,406 and 4,492,786,728

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Solution

The third proportional to 2,882,827,406 and 4,492,786,728 is: 7,001,852,605.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,882,827,406 : 4,492,786,728 = 4,492,786,728 : x
  2. Step 2: Convert to fraction form
    2,882,827,406/4,492,786,728 = 4,492,786,728/x
  3. Step 3: Cross multiply
    2,882,827,406x = 4,492,786,728 × 4,492,786,728
  4. Step 4: Simplify right side
    2,882,827,406x = 20,185,132,583,292,944,384
  5. Step 5: Solve for x
    x = 20,185,132,583,292,944,384/2,882,827,406
  6. Step 6: Final answer
    x = 7,001,852,605.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.