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Finding the Third Proportional to 1,381,518,309 and 3,005,093,232

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Solution

The third proportional to 1,381,518,309 and 3,005,093,232 is: 6,536,710,569.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381,518,309 : 3,005,093,232 = 3,005,093,232 : x
  2. Step 2: Convert to fraction form
    1,381,518,309/3,005,093,232 = 3,005,093,232/x
  3. Step 3: Cross multiply
    1,381,518,309x = 3,005,093,232 × 3,005,093,232
  4. Step 4: Simplify right side
    1,381,518,309x = 9,030,585,333,012,205,568
  5. Step 5: Solve for x
    x = 9,030,585,333,012,205,568/1,381,518,309
  6. Step 6: Final answer
    x = 6,536,710,569.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.