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Finding the Third Proportional to 1,053,642,200 and 2,342,862,152

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Solution

The third proportional to 1,053,642,200 and 2,342,862,152 is: 5,209,551,272.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053,642,200 : 2,342,862,152 = 2,342,862,152 : x
  2. Step 2: Convert to fraction form
    1,053,642,200/2,342,862,152 = 2,342,862,152/x
  3. Step 3: Cross multiply
    1,053,642,200x = 2,342,862,152 × 2,342,862,152
  4. Step 4: Simplify right side
    1,053,642,200x = 5,489,003,063,274,071,040
  5. Step 5: Solve for x
    x = 5,489,003,063,274,071,040/1,053,642,200
  6. Step 6: Final answer
    x = 5,209,551,272.03

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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.