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Finding the Third Proportional to 46,038,016 and 100,847,360

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Solution

The third proportional to 46,038,016 and 100,847,360 is: 220,908,520.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,038,016 : 100,847,360 = 100,847,360 : x
  2. Step 2: Convert to fraction form
    46,038,016/100,847,360 = 100,847,360/x
  3. Step 3: Cross multiply
    46,038,016x = 100,847,360 × 100,847,360
  4. Step 4: Simplify right side
    46,038,016x = 10,170,190,018,969,600
  5. Step 5: Solve for x
    x = 10,170,190,018,969,600/46,038,016
  6. Step 6: Final answer
    x = 220,908,520.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.