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Finding the Third Proportional to 4,564,355.06 and 9,637,997.63

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Solution

The third proportional to 4,564,355.06 and 9,637,997.63 is: 20,351,396.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564,355.06 : 9,637,997.63 = 9,637,997.63 : x
  2. Step 2: Convert to fraction form
    4,564,355.06/9,637,997.63 = 9,637,997.63/x
  3. Step 3: Cross multiply
    4,564,355.06x = 9,637,997.63 × 9,637,997.63
  4. Step 4: Simplify right side
    4,564,355.06x = 92,890,998,219,505.64
  5. Step 5: Solve for x
    x = 92,890,998,219,505.64/4,564,355.06
  6. Step 6: Final answer
    x = 20,351,396.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.