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Finding the Third Proportional to 7,768,473 and 16,170,083

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Solution

The third proportional to 7,768,473 and 16,170,083 is: 33,658,041.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768,473 : 16,170,083 = 16,170,083 : x
  2. Step 2: Convert to fraction form
    7,768,473/16,170,083 = 16,170,083/x
  3. Step 3: Cross multiply
    7,768,473x = 16,170,083 × 16,170,083
  4. Step 4: Simplify right side
    7,768,473x = 261,471,584,226,889
  5. Step 5: Solve for x
    x = 261,471,584,226,889/7,768,473
  6. Step 6: Final answer
    x = 33,658,041.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.