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Finding the Third Proportional to 34,716,883.50 and 74,216,533.50

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Solution

The third proportional to 34,716,883.50 and 74,216,533.50 is: 158,657,497.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,716,883.50 : 74,216,533.50 = 74,216,533.50 : x
  2. Step 2: Convert to fraction form
    34,716,883.50/74,216,533.50 = 74,216,533.50/x
  3. Step 3: Cross multiply
    34,716,883.50x = 74,216,533.50 × 74,216,533.50
  4. Step 4: Simplify right side
    34,716,883.50x = 5,508,093,844,756,622
  5. Step 5: Solve for x
    x = 5,508,093,844,756,622/34,716,883.50
  6. Step 6: Final answer
    x = 158,657,497.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.