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Finding the Third Proportional to 1,673,098,927 and 2,531,166,678

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Solution

The third proportional to 1,673,098,927 and 2,531,166,678 is: 3,829,304,202.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673,098,927 : 2,531,166,678 = 2,531,166,678 : x
  2. Step 2: Convert to fraction form
    1,673,098,927/2,531,166,678 = 2,531,166,678/x
  3. Step 3: Cross multiply
    1,673,098,927x = 2,531,166,678 × 2,531,166,678
  4. Step 4: Simplify right side
    1,673,098,927x = 6,406,804,751,817,555,968
  5. Step 5: Solve for x
    x = 6,406,804,751,817,555,968/1,673,098,927
  6. Step 6: Final answer
    x = 3,829,304,202.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.