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Finding the Third Proportional to 4,938,009 and 11,894,928

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Solution

The third proportional to 4,938,009 and 11,894,928 is: 28,653,109.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938,009 : 11,894,928 = 11,894,928 : x
  2. Step 2: Convert to fraction form
    4,938,009/11,894,928 = 11,894,928/x
  3. Step 3: Cross multiply
    4,938,009x = 11,894,928 × 11,894,928
  4. Step 4: Simplify right side
    4,938,009x = 141,489,312,125,184
  5. Step 5: Solve for x
    x = 141,489,312,125,184/4,938,009
  6. Step 6: Final answer
    x = 28,653,109.41

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.