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Finding the Third Proportional to 3,496,044 and 8,241,064.50

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Solution

The third proportional to 3,496,044 and 8,241,064.50 is: 19,426,284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496,044 : 8,241,064.50 = 8,241,064.50 : x
  2. Step 2: Convert to fraction form
    3,496,044/8,241,064.50 = 8,241,064.50/x
  3. Step 3: Cross multiply
    3,496,044x = 8,241,064.50 × 8,241,064.50
  4. Step 4: Simplify right side
    3,496,044x = 67,915,144,093,160.25
  5. Step 5: Solve for x
    x = 67,915,144,093,160.25/3,496,044
  6. Step 6: Final answer
    x = 19,426,284.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.