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Finding the Third Proportional to 904,655,617.88 and 1,969,503,140.25

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Solution

The third proportional to 904,655,617.88 and 1,969,503,140.25 is: 4,287,756,072.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,655,617.88 : 1,969,503,140.25 = 1,969,503,140.25 : x
  2. Step 2: Convert to fraction form
    904,655,617.88/1,969,503,140.25 = 1,969,503,140.25/x
  3. Step 3: Cross multiply
    904,655,617.88x = 1,969,503,140.25 × 1,969,503,140.25
  4. Step 4: Simplify right side
    904,655,617.88x = 3,878,942,619,454,610,944
  5. Step 5: Solve for x
    x = 3,878,942,619,454,610,944/904,655,617.88
  6. Step 6: Final answer
    x = 4,287,756,072.93

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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.