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Finding the Third Proportional to 9,845,489,902 and 21,184,230,150

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Solution

The third proportional to 9,845,489,902 and 21,184,230,150 is: 45,581,439,980.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,845,489,902 : 21,184,230,150 = 21,184,230,150 : x
  2. Step 2: Convert to fraction form
    9,845,489,902/21,184,230,150 = 21,184,230,150/x
  3. Step 3: Cross multiply
    9,845,489,902x = 21,184,230,150 × 21,184,230,150
  4. Step 4: Simplify right side
    9,845,489,902x = 448,771,607,048,168,996,864
  5. Step 5: Solve for x
    x = 448,771,607,048,168,996,864/9,845,489,902
  6. Step 6: Final answer
    x = 45,581,439,980.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.