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Finding the Third Proportional to 12,967,497 and 30,017,416.50

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Solution

The third proportional to 12,967,497 and 30,017,416.50 is: 69,484,904.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967,497 : 30,017,416.50 = 30,017,416.50 : x
  2. Step 2: Convert to fraction form
    12,967,497/30,017,416.50 = 30,017,416.50/x
  3. Step 3: Cross multiply
    12,967,497x = 30,017,416.50 × 30,017,416.50
  4. Step 4: Simplify right side
    12,967,497x = 901,045,293,334,472.25
  5. Step 5: Solve for x
    x = 901,045,293,334,472.25/12,967,497
  6. Step 6: Final answer
    x = 69,484,904.71

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.