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Finding the Third Proportional to 10,633,928 and 23,335,664

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Solution

The third proportional to 10,633,928 and 23,335,664 is: 51,209,037.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633,928 : 23,335,664 = 23,335,664 : x
  2. Step 2: Convert to fraction form
    10,633,928/23,335,664 = 23,335,664/x
  3. Step 3: Cross multiply
    10,633,928x = 23,335,664 × 23,335,664
  4. Step 4: Simplify right side
    10,633,928x = 544,553,214,320,896
  5. Step 5: Solve for x
    x = 544,553,214,320,896/10,633,928
  6. Step 6: Final answer
    x = 51,209,037.18

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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.