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Finding the Third Proportional to 65,573,523 and 141,361,713

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Solution

The third proportional to 65,573,523 and 141,361,713 is: 304,743,942.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,573,523 : 141,361,713 = 141,361,713 : x
  2. Step 2: Convert to fraction form
    65,573,523/141,361,713 = 141,361,713/x
  3. Step 3: Cross multiply
    65,573,523x = 141,361,713 × 141,361,713
  4. Step 4: Simplify right side
    65,573,523x = 19,983,133,902,294,368
  5. Step 5: Solve for x
    x = 19,983,133,902,294,368/65,573,523
  6. Step 6: Final answer
    x = 304,743,942.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.