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Finding the Third Proportional to 33,558,806.50 and 51,774,648.25

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Solution

The third proportional to 33,558,806.50 and 51,774,648.25 is: 79,878,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,558,806.50 : 51,774,648.25 = 51,774,648.25 : x
  2. Step 2: Convert to fraction form
    33,558,806.50/51,774,648.25 = 51,774,648.25/x
  3. Step 3: Cross multiply
    33,558,806.50x = 51,774,648.25 × 51,774,648.25
  4. Step 4: Simplify right side
    33,558,806.50x = 2,680,614,201,411,228
  5. Step 5: Solve for x
    x = 2,680,614,201,411,228/33,558,806.50
  6. Step 6: Final answer
    x = 79,878,114.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.