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Finding the Third Proportional to 7,114,744,074 and 15,454,265,732

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Solution

The third proportional to 7,114,744,074 and 15,454,265,732 is: 33,568,927,684.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114,744,074 : 15,454,265,732 = 15,454,265,732 : x
  2. Step 2: Convert to fraction form
    7,114,744,074/15,454,265,732 = 15,454,265,732/x
  3. Step 3: Cross multiply
    7,114,744,074x = 15,454,265,732 × 15,454,265,732
  4. Step 4: Simplify right side
    7,114,744,074x = 238,834,329,315,269,509,120
  5. Step 5: Solve for x
    x = 238,834,329,315,269,509,120/7,114,744,074
  6. Step 6: Final answer
    x = 33,568,927,684.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.