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Finding the Third Proportional to 1,872,509,213.50 and 2,754,467,468

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Solution

The third proportional to 1,872,509,213.50 and 2,754,467,468 is: 4,051,831,081.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872,509,213.50 : 2,754,467,468 = 2,754,467,468 : x
  2. Step 2: Convert to fraction form
    1,872,509,213.50/2,754,467,468 = 2,754,467,468/x
  3. Step 3: Cross multiply
    1,872,509,213.50x = 2,754,467,468 × 2,754,467,468
  4. Step 4: Simplify right side
    1,872,509,213.50x = 7,587,091,032,270,330,880
  5. Step 5: Solve for x
    x = 7,587,091,032,270,330,880/1,872,509,213.50
  6. Step 6: Final answer
    x = 4,051,831,081.83

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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.