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Finding the Third Proportional to 46,573,654,200 and 101,307,505,000

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Solution

The third proportional to 46,573,654,200 and 101,307,505,000 is: 220,365,155,915.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,573,654,200 : 101,307,505,000 = 101,307,505,000 : x
  2. Step 2: Convert to fraction form
    46,573,654,200/101,307,505,000 = 101,307,505,000/x
  3. Step 3: Cross multiply
    46,573,654,200x = 101,307,505,000 × 101,307,505,000
  4. Step 4: Simplify right side
    46,573,654,200x = 10,263,210,569,325,025,951,744
  5. Step 5: Solve for x
    x = 10,263,210,569,325,025,951,744/46,573,654,200
  6. Step 6: Final answer
    x = 220,365,155,915.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.