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Finding the Third Proportional to 15,806,304 and 23,834,016

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Solution

The third proportional to 15,806,304 and 23,834,016 is: 35,938,845.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806,304 : 23,834,016 = 23,834,016 : x
  2. Step 2: Convert to fraction form
    15,806,304/23,834,016 = 23,834,016/x
  3. Step 3: Cross multiply
    15,806,304x = 23,834,016 × 23,834,016
  4. Step 4: Simplify right side
    15,806,304x = 568,060,318,688,256
  5. Step 5: Solve for x
    x = 568,060,318,688,256/15,806,304
  6. Step 6: Final answer
    x = 35,938,845.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.