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Finding the Third Proportional to 4,607,312.25 and 9,997,794.75

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Solution

The third proportional to 4,607,312.25 and 9,997,794.75 is: 21,695,056.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607,312.25 : 9,997,794.75 = 9,997,794.75 : x
  2. Step 2: Convert to fraction form
    4,607,312.25/9,997,794.75 = 9,997,794.75/x
  3. Step 3: Cross multiply
    4,607,312.25x = 9,997,794.75 × 9,997,794.75
  4. Step 4: Simplify right side
    4,607,312.25x = 99,955,899,863,127.56
  5. Step 5: Solve for x
    x = 99,955,899,863,127.56/4,607,312.25
  6. Step 6: Final answer
    x = 21,695,056.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.