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Finding the Third Proportional to 24,708,299,004 and 34,794,729,706.50

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Solution

The third proportional to 24,708,299,004 and 34,794,729,706.50 is: 48,998,646,776.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,708,299,004 : 34,794,729,706.50 = 34,794,729,706.50 : x
  2. Step 2: Convert to fraction form
    24,708,299,004/34,794,729,706.50 = 34,794,729,706.50/x
  3. Step 3: Cross multiply
    24,708,299,004x = 34,794,729,706.50 × 34,794,729,706.50
  4. Step 4: Simplify right side
    24,708,299,004x = 1,210,673,215,348,393,639,936
  5. Step 5: Solve for x
    x = 1,210,673,215,348,393,639,936/24,708,299,004
  6. Step 6: Final answer
    x = 48,998,646,776.63

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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.