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Finding the Third Proportional to 34,491,210.75 and 75,106,021.50

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Solution

The third proportional to 34,491,210.75 and 75,106,021.50 is: 163,546,432.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,491,210.75 : 75,106,021.50 = 75,106,021.50 : x
  2. Step 2: Convert to fraction form
    34,491,210.75/75,106,021.50 = 75,106,021.50/x
  3. Step 3: Cross multiply
    34,491,210.75x = 75,106,021.50 × 75,106,021.50
  4. Step 4: Simplify right side
    34,491,210.75x = 5,640,914,465,558,462
  5. Step 5: Solve for x
    x = 5,640,914,465,558,462/34,491,210.75
  6. Step 6: Final answer
    x = 163,546,432.35

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.