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Finding the Third Proportional to 4,365,898 and 9,184,221

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Solution

The third proportional to 4,365,898 and 9,184,221 is: 19,320,175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365,898 : 9,184,221 = 9,184,221 : x
  2. Step 2: Convert to fraction form
    4,365,898/9,184,221 = 9,184,221/x
  3. Step 3: Cross multiply
    4,365,898x = 9,184,221 × 9,184,221
  4. Step 4: Simplify right side
    4,365,898x = 84,349,915,376,841
  5. Step 5: Solve for x
    x = 84,349,915,376,841/4,365,898
  6. Step 6: Final answer
    x = 19,320,175.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.