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Finding the Third Proportional to 10,524,829.50 and 22,673,871

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Solution

The third proportional to 10,524,829.50 and 22,673,871 is: 48,846,817.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,524,829.50 : 22,673,871 = 22,673,871 : x
  2. Step 2: Convert to fraction form
    10,524,829.50/22,673,871 = 22,673,871/x
  3. Step 3: Cross multiply
    10,524,829.50x = 22,673,871 × 22,673,871
  4. Step 4: Simplify right side
    10,524,829.50x = 514,104,426,124,641
  5. Step 5: Solve for x
    x = 514,104,426,124,641/10,524,829.50
  6. Step 6: Final answer
    x = 48,846,817.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.