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Finding the Third Proportional to 75,823,038 and 163,728,000

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Solution

The third proportional to 75,823,038 and 163,728,000 is: 353,545,026.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,823,038 : 163,728,000 = 163,728,000 : x
  2. Step 2: Convert to fraction form
    75,823,038/163,728,000 = 163,728,000/x
  3. Step 3: Cross multiply
    75,823,038x = 163,728,000 × 163,728,000
  4. Step 4: Simplify right side
    75,823,038x = 26,806,857,984,000,000
  5. Step 5: Solve for x
    x = 26,806,857,984,000,000/75,823,038
  6. Step 6: Final answer
    x = 353,545,026.57

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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.