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Finding the Third Proportional to 8,078,943 and 17,702,969

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Solution

The third proportional to 8,078,943 and 17,702,969 is: 38,791,598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078,943 : 17,702,969 = 17,702,969 : x
  2. Step 2: Convert to fraction form
    8,078,943/17,702,969 = 17,702,969/x
  3. Step 3: Cross multiply
    8,078,943x = 17,702,969 × 17,702,969
  4. Step 4: Simplify right side
    8,078,943x = 313,395,111,414,961
  5. Step 5: Solve for x
    x = 313,395,111,414,961/8,078,943
  6. Step 6: Final answer
    x = 38,791,598.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.