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Finding the Third Proportional to 4,671,468 and 10,041,324

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Solution

The third proportional to 4,671,468 and 10,041,324 is: 21,583,833.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671,468 : 10,041,324 = 10,041,324 : x
  2. Step 2: Convert to fraction form
    4,671,468/10,041,324 = 10,041,324/x
  3. Step 3: Cross multiply
    4,671,468x = 10,041,324 × 10,041,324
  4. Step 4: Simplify right side
    4,671,468x = 100,828,187,672,976
  5. Step 5: Solve for x
    x = 100,828,187,672,976/4,671,468
  6. Step 6: Final answer
    x = 21,583,833.53

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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.