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Finding the Third Proportional to 1,002,763,548 and 2,199,237,624

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Solution

The third proportional to 1,002,763,548 and 2,199,237,624 is: 4,823,316,659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002,763,548 : 2,199,237,624 = 2,199,237,624 : x
  2. Step 2: Convert to fraction form
    1,002,763,548/2,199,237,624 = 2,199,237,624/x
  3. Step 3: Cross multiply
    1,002,763,548x = 2,199,237,624 × 2,199,237,624
  4. Step 4: Simplify right side
    1,002,763,548x = 4,836,646,126,817,165,312
  5. Step 5: Solve for x
    x = 4,836,646,126,817,165,312/1,002,763,548
  6. Step 6: Final answer
    x = 4,823,316,659.71

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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.