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Finding the Third Proportional to 2,693,721.75 and 5,985,316.50

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Solution

The third proportional to 2,693,721.75 and 5,985,316.50 is: 13,299,077.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693,721.75 : 5,985,316.50 = 5,985,316.50 : x
  2. Step 2: Convert to fraction form
    2,693,721.75/5,985,316.50 = 5,985,316.50/x
  3. Step 3: Cross multiply
    2,693,721.75x = 5,985,316.50 × 5,985,316.50
  4. Step 4: Simplify right side
    2,693,721.75x = 35,824,013,605,172.25
  5. Step 5: Solve for x
    x = 35,824,013,605,172.25/2,693,721.75
  6. Step 6: Final answer
    x = 13,299,077.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.