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Finding the Third Proportional to 7,198,938,358 and 11,219,296,493

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Solution

The third proportional to 7,198,938,358 and 11,219,296,493 is: 17,484,885,623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198,938,358 : 11,219,296,493 = 11,219,296,493 : x
  2. Step 2: Convert to fraction form
    7,198,938,358/11,219,296,493 = 11,219,296,493/x
  3. Step 3: Cross multiply
    7,198,938,358x = 11,219,296,493 × 11,219,296,493
  4. Step 4: Simplify right side
    7,198,938,358x = 125,872,613,797,842,092,032
  5. Step 5: Solve for x
    x = 125,872,613,797,842,092,032/7,198,938,358
  6. Step 6: Final answer
    x = 17,484,885,623.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.