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Finding the Third Proportional to 25,946,522 and 36,497,031

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Solution

The third proportional to 25,946,522 and 36,497,031 is: 51,337,642.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,946,522 : 36,497,031 = 36,497,031 : x
  2. Step 2: Convert to fraction form
    25,946,522/36,497,031 = 36,497,031/x
  3. Step 3: Cross multiply
    25,946,522x = 36,497,031 × 36,497,031
  4. Step 4: Simplify right side
    25,946,522x = 1,332,033,271,814,961
  5. Step 5: Solve for x
    x = 1,332,033,271,814,961/25,946,522
  6. Step 6: Final answer
    x = 51,337,642.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.