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Finding the Third Proportional to 9,725,664 and 22,513,176

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Solution

The third proportional to 9,725,664 and 22,513,176 is: 52,113,983.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725,664 : 22,513,176 = 22,513,176 : x
  2. Step 2: Convert to fraction form
    9,725,664/22,513,176 = 22,513,176/x
  3. Step 3: Cross multiply
    9,725,664x = 22,513,176 × 22,513,176
  4. Step 4: Simplify right side
    9,725,664x = 506,843,093,606,976
  5. Step 5: Solve for x
    x = 506,843,093,606,976/9,725,664
  6. Step 6: Final answer
    x = 52,113,983.54

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.