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Finding the Third Proportional to 4,029,184 and 8,294,557.50

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Solution

The third proportional to 4,029,184 and 8,294,557.50 is: 17,075,339.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,029,184 : 8,294,557.50 = 8,294,557.50 : x
  2. Step 2: Convert to fraction form
    4,029,184/8,294,557.50 = 8,294,557.50/x
  3. Step 3: Cross multiply
    4,029,184x = 8,294,557.50 × 8,294,557.50
  4. Step 4: Simplify right side
    4,029,184x = 68,799,684,120,806.25
  5. Step 5: Solve for x
    x = 68,799,684,120,806.25/4,029,184
  6. Step 6: Final answer
    x = 17,075,339.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.