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Finding the Third Proportional to 17,365,823 and 25,528,471

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Solution

The third proportional to 17,365,823 and 25,528,471 is: 37,527,897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,365,823 : 25,528,471 = 25,528,471 : x
  2. Step 2: Convert to fraction form
    17,365,823/25,528,471 = 25,528,471/x
  3. Step 3: Cross multiply
    17,365,823x = 25,528,471 × 25,528,471
  4. Step 4: Simplify right side
    17,365,823x = 651,702,831,597,841
  5. Step 5: Solve for x
    x = 651,702,831,597,841/17,365,823
  6. Step 6: Final answer
    x = 37,527,897.85

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.