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Finding the Third Proportional to 36,699,136 and 51,433,591

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Solution

The third proportional to 36,699,136 and 51,433,591 is: 72,083,830.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,699,136 : 51,433,591 = 51,433,591 : x
  2. Step 2: Convert to fraction form
    36,699,136/51,433,591 = 51,433,591/x
  3. Step 3: Cross multiply
    36,699,136x = 51,433,591 × 51,433,591
  4. Step 4: Simplify right side
    36,699,136x = 2,645,414,283,155,281
  5. Step 5: Solve for x
    x = 2,645,414,283,155,281/36,699,136
  6. Step 6: Final answer
    x = 72,083,830.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.