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Finding the Third Proportional to 21,833,733,951 and 31,200,911,680.50

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Solution

The third proportional to 21,833,733,951 and 31,200,911,680.50 is: 44,586,825,683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,833,733,951 : 31,200,911,680.50 = 31,200,911,680.50 : x
  2. Step 2: Convert to fraction form
    21,833,733,951/31,200,911,680.50 = 31,200,911,680.50/x
  3. Step 3: Cross multiply
    21,833,733,951x = 31,200,911,680.50 × 31,200,911,680.50
  4. Step 4: Simplify right side
    21,833,733,951x = 973,496,889,694,361,354,240
  5. Step 5: Solve for x
    x = 973,496,889,694,361,354,240/21,833,733,951
  6. Step 6: Final answer
    x = 44,586,825,683.56

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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.