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Finding the Third Proportional to 24,698,039,361 and 33,323,453,781

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Solution

The third proportional to 24,698,039,361 and 33,323,453,781 is: 44,961,162,935.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,698,039,361 : 33,323,453,781 = 33,323,453,781 : x
  2. Step 2: Convert to fraction form
    24,698,039,361/33,323,453,781 = 33,323,453,781/x
  3. Step 3: Cross multiply
    24,698,039,361x = 33,323,453,781 × 33,323,453,781
  4. Step 4: Simplify right side
    24,698,039,361x = 1,110,452,571,894,443,147,264
  5. Step 5: Solve for x
    x = 1,110,452,571,894,443,147,264/24,698,039,361
  6. Step 6: Final answer
    x = 44,961,162,935.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.