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Finding the Third Proportional to 565,827,723,212 and 1,234,064,309,415

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Solution

The third proportional to 565,827,723,212 and 1,234,064,309,415 is: 2,691,481,271,237.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,827,723,212 : 1,234,064,309,415 = 1,234,064,309,415 : x
  2. Step 2: Convert to fraction form
    565,827,723,212/1,234,064,309,415 = 1,234,064,309,415/x
  3. Step 3: Cross multiply
    565,827,723,212x = 1,234,064,309,415 × 1,234,064,309,415
  4. Step 4: Simplify right side
    565,827,723,212x = 1,522,914,719,771,920,785,473,536
  5. Step 5: Solve for x
    x = 1,522,914,719,771,920,785,473,536/565,827,723,212
  6. Step 6: Final answer
    x = 2,691,481,271,237.26

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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.