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Finding the Third Proportional to 384,552,479,424 and 565,309,203,964

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Solution

The third proportional to 384,552,479,424 and 565,309,203,964 is: 831,029,607,623.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,552,479,424 : 565,309,203,964 = 565,309,203,964 : x
  2. Step 2: Convert to fraction form
    384,552,479,424/565,309,203,964 = 565,309,203,964/x
  3. Step 3: Cross multiply
    384,552,479,424x = 565,309,203,964 × 565,309,203,964
  4. Step 4: Simplify right side
    384,552,479,424x = 319,574,496,086,411,383,406,592
  5. Step 5: Solve for x
    x = 319,574,496,086,411,383,406,592/384,552,479,424
  6. Step 6: Final answer
    x = 831,029,607,623.61

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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.