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Finding the Third Proportional to 24,004,962 and 34,302,534

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Solution

The third proportional to 24,004,962 and 34,302,534 is: 49,017,525.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,004,962 : 34,302,534 = 34,302,534 : x
  2. Step 2: Convert to fraction form
    24,004,962/34,302,534 = 34,302,534/x
  3. Step 3: Cross multiply
    24,004,962x = 34,302,534 × 34,302,534
  4. Step 4: Simplify right side
    24,004,962x = 1,176,663,838,821,156
  5. Step 5: Solve for x
    x = 1,176,663,838,821,156/24,004,962
  6. Step 6: Final answer
    x = 49,017,525.58

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.