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Finding the Third Proportional to 44,869,834 and 97,601,327

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Solution

The third proportional to 44,869,834 and 97,601,327 is: 212,303,415.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,869,834 : 97,601,327 = 97,601,327 : x
  2. Step 2: Convert to fraction form
    44,869,834/97,601,327 = 97,601,327/x
  3. Step 3: Cross multiply
    44,869,834x = 97,601,327 × 97,601,327
  4. Step 4: Simplify right side
    44,869,834x = 9,526,019,032,160,928
  5. Step 5: Solve for x
    x = 9,526,019,032,160,928/44,869,834
  6. Step 6: Final answer
    x = 212,303,415.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.