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Finding the Third Proportional to 266,369,968,614.50 and 546,860,985,249.52

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Solution

The third proportional to 266,369,968,614.50 and 546,860,985,249.52 is: 1,122,712,664,432.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,369,968,614.50 : 546,860,985,249.52 = 546,860,985,249.52 : x
  2. Step 2: Convert to fraction form
    266,369,968,614.50/546,860,985,249.52 = 546,860,985,249.52/x
  3. Step 3: Cross multiply
    266,369,968,614.50x = 546,860,985,249.52 × 546,860,985,249.52
  4. Step 4: Simplify right side
    266,369,968,614.50x = 299,056,937,188,075,757,371,392
  5. Step 5: Solve for x
    x = 299,056,937,188,075,757,371,392/266,369,968,614.50
  6. Step 6: Final answer
    x = 1,122,712,664,432.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.