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Finding the Third Proportional to 384,552,479,078 and 565,309,203,500

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Solution

The third proportional to 384,552,479,078 and 565,309,203,500 is: 831,029,607,007.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,552,479,078 : 565,309,203,500 = 565,309,203,500 : x
  2. Step 2: Convert to fraction form
    384,552,479,078/565,309,203,500 = 565,309,203,500/x
  3. Step 3: Cross multiply
    384,552,479,078x = 565,309,203,500 × 565,309,203,500
  4. Step 4: Simplify right side
    384,552,479,078x = 319,574,495,561,804,414,976,000
  5. Step 5: Solve for x
    x = 319,574,495,561,804,414,976,000/384,552,479,078
  6. Step 6: Final answer
    x = 831,029,607,007.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.