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Finding the Third Proportional to 11,663,664.75 and 16,417,852.88

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Solution

The third proportional to 11,663,664.75 and 16,417,852.88 is: 23,109,880.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663,664.75 : 16,417,852.88 = 16,417,852.88 : x
  2. Step 2: Convert to fraction form
    11,663,664.75/16,417,852.88 = 16,417,852.88/x
  3. Step 3: Cross multiply
    11,663,664.75x = 16,417,852.88 × 16,417,852.88
  4. Step 4: Simplify right side
    11,663,664.75x = 269,545,893,025,145.75
  5. Step 5: Solve for x
    x = 269,545,893,025,145.75/11,663,664.75
  6. Step 6: Final answer
    x = 23,109,880.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.