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Finding the Third Proportional to 3,775,512,491 and 5,249,548,335

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Solution

The third proportional to 3,775,512,491 and 5,249,548,335 is: 7,299,077,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775,512,491 : 5,249,548,335 = 5,249,548,335 : x
  2. Step 2: Convert to fraction form
    3,775,512,491/5,249,548,335 = 5,249,548,335/x
  3. Step 3: Cross multiply
    3,775,512,491x = 5,249,548,335 × 5,249,548,335
  4. Step 4: Simplify right side
    3,775,512,491x = 27,557,757,721,501,274,112
  5. Step 5: Solve for x
    x = 27,557,757,721,501,274,112/3,775,512,491
  6. Step 6: Final answer
    x = 7,299,077,353.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.