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Finding the Third Proportional to 49,134,003.75 and 77,070,078.75

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Solution

The third proportional to 49,134,003.75 and 77,070,078.75 is: 120,889,742.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,134,003.75 : 77,070,078.75 = 77,070,078.75 : x
  2. Step 2: Convert to fraction form
    49,134,003.75/77,070,078.75 = 77,070,078.75/x
  3. Step 3: Cross multiply
    49,134,003.75x = 77,070,078.75 × 77,070,078.75
  4. Step 4: Simplify right side
    49,134,003.75x = 5,939,797,038,531,202
  5. Step 5: Solve for x
    x = 5,939,797,038,531,202/49,134,003.75
  6. Step 6: Final answer
    x = 120,889,742.04

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.