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Finding the Third Proportional to 8,078,945 and 17,702,973

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Solution

The third proportional to 8,078,945 and 17,702,973 is: 38,791,606.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078,945 : 17,702,973 = 17,702,973 : x
  2. Step 2: Convert to fraction form
    8,078,945/17,702,973 = 17,702,973/x
  3. Step 3: Cross multiply
    8,078,945x = 17,702,973 × 17,702,973
  4. Step 4: Simplify right side
    8,078,945x = 313,395,253,038,729
  5. Step 5: Solve for x
    x = 313,395,253,038,729/8,078,945
  6. Step 6: Final answer
    x = 38,791,606.21

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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.