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Finding the Third Proportional to 24,698,039,361 and 33,323,453,782.50

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Solution

The third proportional to 24,698,039,361 and 33,323,453,782.50 is: 44,961,162,939.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,698,039,361 : 33,323,453,782.50 = 33,323,453,782.50 : x
  2. Step 2: Convert to fraction form
    24,698,039,361/33,323,453,782.50 = 33,323,453,782.50/x
  3. Step 3: Cross multiply
    24,698,039,361x = 33,323,453,782.50 × 33,323,453,782.50
  4. Step 4: Simplify right side
    24,698,039,361x = 1,110,452,571,994,413,596,672
  5. Step 5: Solve for x
    x = 1,110,452,571,994,413,596,672/24,698,039,361
  6. Step 6: Final answer
    x = 44,961,162,939.43

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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.