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Finding the Third Proportional to 64,052,401,656 and 133,406,310,012

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Solution

The third proportional to 64,052,401,656 and 133,406,310,012 is: 277,854,429,980.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,052,401,656 : 133,406,310,012 = 133,406,310,012 : x
  2. Step 2: Convert to fraction form
    64,052,401,656/133,406,310,012 = 133,406,310,012/x
  3. Step 3: Cross multiply
    64,052,401,656x = 133,406,310,012 × 133,406,310,012
  4. Step 4: Simplify right side
    64,052,401,656x = 17,797,243,551,017,850,634,240
  5. Step 5: Solve for x
    x = 17,797,243,551,017,850,634,240/64,052,401,656
  6. Step 6: Final answer
    x = 277,854,429,980.62

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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.