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Finding the Third Proportional to 4,263,539,474 and 9,507,404,844

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Solution

The third proportional to 4,263,539,474 and 9,507,404,844 is: 21,200,870,173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,263,539,474 : 9,507,404,844 = 9,507,404,844 : x
  2. Step 2: Convert to fraction form
    4,263,539,474/9,507,404,844 = 9,507,404,844/x
  3. Step 3: Cross multiply
    4,263,539,474x = 9,507,404,844 × 9,507,404,844
  4. Step 4: Simplify right side
    4,263,539,474x = 90,390,746,867,714,670,592
  5. Step 5: Solve for x
    x = 90,390,746,867,714,670,592/4,263,539,474
  6. Step 6: Final answer
    x = 21,200,870,173.46

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.