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Finding the Third Proportional to 20,853,906 and 45,415,164

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Solution

The third proportional to 20,853,906 and 45,415,164 is: 98,904,115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,853,906 : 45,415,164 = 45,415,164 : x
  2. Step 2: Convert to fraction form
    20,853,906/45,415,164 = 45,415,164/x
  3. Step 3: Cross multiply
    20,853,906x = 45,415,164 × 45,415,164
  4. Step 4: Simplify right side
    20,853,906x = 2,062,537,121,146,896
  5. Step 5: Solve for x
    x = 2,062,537,121,146,896/20,853,906
  6. Step 6: Final answer
    x = 98,904,115.19

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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.