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Finding the Third Proportional to 5,321,348 and 11,672,746

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Solution

The third proportional to 5,321,348 and 11,672,746 is: 25,604,978.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321,348 : 11,672,746 = 11,672,746 : x
  2. Step 2: Convert to fraction form
    5,321,348/11,672,746 = 11,672,746/x
  3. Step 3: Cross multiply
    5,321,348x = 11,672,746 × 11,672,746
  4. Step 4: Simplify right side
    5,321,348x = 136,252,999,180,516
  5. Step 5: Solve for x
    x = 136,252,999,180,516/5,321,348
  6. Step 6: Final answer
    x = 25,604,978.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.