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Finding the Third Proportional to 1,872,509,216 and 2,754,467,471

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Solution

The third proportional to 1,872,509,216 and 2,754,467,471 is: 4,051,831,085.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872,509,216 : 2,754,467,471 = 2,754,467,471 : x
  2. Step 2: Convert to fraction form
    1,872,509,216/2,754,467,471 = 2,754,467,471/x
  3. Step 3: Cross multiply
    1,872,509,216x = 2,754,467,471 × 2,754,467,471
  4. Step 4: Simplify right side
    1,872,509,216x = 7,587,091,048,797,135,872
  5. Step 5: Solve for x
    x = 7,587,091,048,797,135,872/1,872,509,216
  6. Step 6: Final answer
    x = 4,051,831,085.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.