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Finding the Third Proportional to 51,651,536 and 77,201,616

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Solution

The third proportional to 51,651,536 and 77,201,616 is: 115,390,363.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,651,536 : 77,201,616 = 77,201,616 : x
  2. Step 2: Convert to fraction form
    51,651,536/77,201,616 = 77,201,616/x
  3. Step 3: Cross multiply
    51,651,536x = 77,201,616 × 77,201,616
  4. Step 4: Simplify right side
    51,651,536x = 5,960,089,513,011,456
  5. Step 5: Solve for x
    x = 5,960,089,513,011,456/51,651,536
  6. Step 6: Final answer
    x = 115,390,363.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.