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Finding the Third Proportional to 15,571,993.50 and 34,075,182.94

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Solution

The third proportional to 15,571,993.50 and 34,075,182.94 is: 74,564,511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,571,993.50 : 34,075,182.94 = 34,075,182.94 : x
  2. Step 2: Convert to fraction form
    15,571,993.50/34,075,182.94 = 34,075,182.94/x
  3. Step 3: Cross multiply
    15,571,993.50x = 34,075,182.94 × 34,075,182.94
  4. Step 4: Simplify right side
    15,571,993.50x = 1,161,118,092,224,091.25
  5. Step 5: Solve for x
    x = 1,161,118,092,224,091.25/15,571,993.50
  6. Step 6: Final answer
    x = 74,564,511.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.