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Finding the Third Proportional to 7,457,664 and 11,287,324

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Solution

The third proportional to 7,457,664 and 11,287,324 is: 17,083,591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,457,664 : 11,287,324 = 11,287,324 : x
  2. Step 2: Convert to fraction form
    7,457,664/11,287,324 = 11,287,324/x
  3. Step 3: Cross multiply
    7,457,664x = 11,287,324 × 11,287,324
  4. Step 4: Simplify right side
    7,457,664x = 127,403,683,080,976
  5. Step 5: Solve for x
    x = 127,403,683,080,976/7,457,664
  6. Step 6: Final answer
    x = 17,083,591.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.