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Finding the Third Proportional to 1,453,478,025 and 3,188,329,458

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Solution

The third proportional to 1,453,478,025 and 3,188,329,458 is: 6,993,875,764.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453,478,025 : 3,188,329,458 = 3,188,329,458 : x
  2. Step 2: Convert to fraction form
    1,453,478,025/3,188,329,458 = 3,188,329,458/x
  3. Step 3: Cross multiply
    1,453,478,025x = 3,188,329,458 × 3,188,329,458
  4. Step 4: Simplify right side
    1,453,478,025x = 10,165,444,732,750,573,568
  5. Step 5: Solve for x
    x = 10,165,444,732,750,573,568/1,453,478,025
  6. Step 6: Final answer
    x = 6,993,875,764.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.