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Finding the Third Proportional to 9,992,984,760.25 and 22,220,258,288.50

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Solution

The third proportional to 9,992,984,760.25 and 22,220,258,288.50 is: 49,408,649,192.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992,984,760.25 : 22,220,258,288.50 = 22,220,258,288.50 : x
  2. Step 2: Convert to fraction form
    9,992,984,760.25/22,220,258,288.50 = 22,220,258,288.50/x
  3. Step 3: Cross multiply
    9,992,984,760.25x = 22,220,258,288.50 × 22,220,258,288.50
  4. Step 4: Simplify right side
    9,992,984,760.25x = 493,739,878,407,652,966,400
  5. Step 5: Solve for x
    x = 493,739,878,407,652,966,400/9,992,984,760.25
  6. Step 6: Final answer
    x = 49,408,649,192.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.