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Finding the Third Proportional to 1,148,427,078 and 2,519,173,884

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Solution

The third proportional to 1,148,427,078 and 2,519,173,884 is: 5,526,025,273.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148,427,078 : 2,519,173,884 = 2,519,173,884 : x
  2. Step 2: Convert to fraction form
    1,148,427,078/2,519,173,884 = 2,519,173,884/x
  3. Step 3: Cross multiply
    1,148,427,078x = 2,519,173,884 × 2,519,173,884
  4. Step 4: Simplify right side
    1,148,427,078x = 6,346,237,057,827,645,440
  5. Step 5: Solve for x
    x = 6,346,237,057,827,645,440/1,148,427,078
  6. Step 6: Final answer
    x = 5,526,025,273.52

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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.