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Finding the Third Proportional to 25,735,729 and 39,206,624

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Solution

The third proportional to 25,735,729 and 39,206,624 is: 59,728,611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,735,729 : 39,206,624 = 39,206,624 : x
  2. Step 2: Convert to fraction form
    25,735,729/39,206,624 = 39,206,624/x
  3. Step 3: Cross multiply
    25,735,729x = 39,206,624 × 39,206,624
  4. Step 4: Simplify right side
    25,735,729x = 1,537,159,365,477,376
  5. Step 5: Solve for x
    x = 1,537,159,365,477,376/25,735,729
  6. Step 6: Final answer
    x = 59,728,611.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.