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Finding the Third Proportional to 342,254,074.50 and 747,225,490.50

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Solution

The third proportional to 342,254,074.50 and 747,225,490.50 is: 1,631,378,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,254,074.50 : 747,225,490.50 = 747,225,490.50 : x
  2. Step 2: Convert to fraction form
    342,254,074.50/747,225,490.50 = 747,225,490.50/x
  3. Step 3: Cross multiply
    342,254,074.50x = 747,225,490.50 × 747,225,490.50
  4. Step 4: Simplify right side
    342,254,074.50x = 558,345,933,652,965,568
  5. Step 5: Solve for x
    x = 558,345,933,652,965,568/342,254,074.50
  6. Step 6: Final answer
    x = 1,631,378,485.32

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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.