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Finding the Third Proportional to 45,946,845 and 97,975,737

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Solution

The third proportional to 45,946,845 and 97,975,737 is: 208,920,656.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,946,845 : 97,975,737 = 97,975,737 : x
  2. Step 2: Convert to fraction form
    45,946,845/97,975,737 = 97,975,737/x
  3. Step 3: Cross multiply
    45,946,845x = 97,975,737 × 97,975,737
  4. Step 4: Simplify right side
    45,946,845x = 9,599,245,040,693,168
  5. Step 5: Solve for x
    x = 9,599,245,040,693,168/45,946,845
  6. Step 6: Final answer
    x = 208,920,656.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.