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Finding the Third Proportional to 51,489,849 and 77,713,599.75

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Solution

The third proportional to 51,489,849 and 77,713,599.75 is: 117,293,091.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,489,849 : 77,713,599.75 = 77,713,599.75 : x
  2. Step 2: Convert to fraction form
    51,489,849/77,713,599.75 = 77,713,599.75/x
  3. Step 3: Cross multiply
    51,489,849x = 77,713,599.75 × 77,713,599.75
  4. Step 4: Simplify right side
    51,489,849x = 6,039,403,586,103,200
  5. Step 5: Solve for x
    x = 6,039,403,586,103,200/51,489,849
  6. Step 6: Final answer
    x = 117,293,091.81

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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.