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Finding the Third Proportional to 75,823,041 and 163,728,006

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Solution

The third proportional to 75,823,041 and 163,728,006 is: 353,545,038.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,823,041 : 163,728,006 = 163,728,006 : x
  2. Step 2: Convert to fraction form
    75,823,041/163,728,006 = 163,728,006/x
  3. Step 3: Cross multiply
    75,823,041x = 163,728,006 × 163,728,006
  4. Step 4: Simplify right side
    75,823,041x = 26,806,859,948,736,036
  5. Step 5: Solve for x
    x = 26,806,859,948,736,036/75,823,041
  6. Step 6: Final answer
    x = 353,545,038.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.