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Finding the Third Proportional to 30,302,984 and 65,103,376

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Solution

The third proportional to 30,302,984 and 65,103,376 is: 139,869,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,302,984 : 65,103,376 = 65,103,376 : x
  2. Step 2: Convert to fraction form
    30,302,984/65,103,376 = 65,103,376/x
  3. Step 3: Cross multiply
    30,302,984x = 65,103,376 × 65,103,376
  4. Step 4: Simplify right side
    30,302,984x = 4,238,449,566,597,376
  5. Step 5: Solve for x
    x = 4,238,449,566,597,376/30,302,984
  6. Step 6: Final answer
    x = 139,869,049.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.