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Finding the Third Proportional to 2,143,830,894 and 3,278,812,617

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Solution

The third proportional to 2,143,830,894 and 3,278,812,617 is: 5,014,673,595.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143,830,894 : 3,278,812,617 = 3,278,812,617 : x
  2. Step 2: Convert to fraction form
    2,143,830,894/3,278,812,617 = 3,278,812,617/x
  3. Step 3: Cross multiply
    2,143,830,894x = 3,278,812,617 × 3,278,812,617
  4. Step 4: Simplify right side
    2,143,830,894x = 10,750,612,177,398,388,736
  5. Step 5: Solve for x
    x = 10,750,612,177,398,388,736/2,143,830,894
  6. Step 6: Final answer
    x = 5,014,673,595.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.