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Finding the Third Proportional to 600,995,025 and 1,305,447,931.13

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Solution

The third proportional to 600,995,025 and 1,305,447,931.13 is: 2,835,621,311.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,995,025 : 1,305,447,931.13 = 1,305,447,931.13 : x
  2. Step 2: Convert to fraction form
    600,995,025/1,305,447,931.13 = 1,305,447,931.13/x
  3. Step 3: Cross multiply
    600,995,025x = 1,305,447,931.13 × 1,305,447,931.13
  4. Step 4: Simplify right side
    600,995,025x = 1,704,194,300,878,542,848
  5. Step 5: Solve for x
    x = 1,704,194,300,878,542,848/600,995,025
  6. Step 6: Final answer
    x = 2,835,621,311.31

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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.