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Finding the Third Proportional to 64,052,401,654 and 133,406,310,008

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Solution

The third proportional to 64,052,401,654 and 133,406,310,008 is: 277,854,429,972.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,052,401,654 : 133,406,310,008 = 133,406,310,008 : x
  2. Step 2: Convert to fraction form
    64,052,401,654/133,406,310,008 = 133,406,310,008/x
  3. Step 3: Cross multiply
    64,052,401,654x = 133,406,310,008 × 133,406,310,008
  4. Step 4: Simplify right side
    64,052,401,654x = 17,797,243,549,950,601,592,832
  5. Step 5: Solve for x
    x = 17,797,243,549,950,601,592,832/64,052,401,654
  6. Step 6: Final answer
    x = 277,854,429,972.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.