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Finding the Third Proportional to 2,758,243,677,745 and 6,444,502,046,049

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Solution

The third proportional to 2,758,243,677,745 and 6,444,502,046,049 is: 15,057,265,228,822.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758,243,677,745 : 6,444,502,046,049 = 6,444,502,046,049 : x
  2. Step 2: Convert to fraction form
    2,758,243,677,745/6,444,502,046,049 = 6,444,502,046,049/x
  3. Step 3: Cross multiply
    2,758,243,677,745x = 6,444,502,046,049 × 6,444,502,046,049
  4. Step 4: Simplify right side
    2,758,243,677,745x = 41,531,606,621,529,743,361,572,864
  5. Step 5: Solve for x
    x = 41,531,606,621,529,743,361,572,864/2,758,243,677,745
  6. Step 6: Final answer
    x = 15,057,265,228,822.67

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.