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Finding the Third Proportional to 1,555,802,817,737 and 3,371,316,404,626

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Solution

The third proportional to 1,555,802,817,737 and 3,371,316,404,626 is: 7,305,407,967,207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,555,802,817,737 : 3,371,316,404,626 = 3,371,316,404,626 : x
  2. Step 2: Convert to fraction form
    1,555,802,817,737/3,371,316,404,626 = 3,371,316,404,626/x
  3. Step 3: Cross multiply
    1,555,802,817,737x = 3,371,316,404,626 × 3,371,316,404,626
  4. Step 4: Simplify right side
    1,555,802,817,737x = 11,365,774,300,100,379,726,053,376
  5. Step 5: Solve for x
    x = 11,365,774,300,100,379,726,053,376/1,555,802,817,737
  6. Step 6: Final answer
    x = 7,305,407,967,207.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.