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Finding the Third Proportional to 6,802,706 and 10,312,032

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Solution

The third proportional to 6,802,706 and 10,312,032 is: 15,631,721.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802,706 : 10,312,032 = 10,312,032 : x
  2. Step 2: Convert to fraction form
    6,802,706/10,312,032 = 10,312,032/x
  3. Step 3: Cross multiply
    6,802,706x = 10,312,032 × 10,312,032
  4. Step 4: Simplify right side
    6,802,706x = 106,338,003,969,024
  5. Step 5: Solve for x
    x = 106,338,003,969,024/6,802,706
  6. Step 6: Final answer
    x = 15,631,721.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.