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Finding the Third Proportional to 51,503,628 and 77,261,586

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Solution

The third proportional to 51,503,628 and 77,261,586 is: 115,901,595.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,503,628 : 77,261,586 = 77,261,586 : x
  2. Step 2: Convert to fraction form
    51,503,628/77,261,586 = 77,261,586/x
  3. Step 3: Cross multiply
    51,503,628x = 77,261,586 × 77,261,586
  4. Step 4: Simplify right side
    51,503,628x = 5,969,352,671,235,396
  5. Step 5: Solve for x
    x = 5,969,352,671,235,396/51,503,628
  6. Step 6: Final answer
    x = 115,901,595.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.