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Finding the Third Proportional to 3,300,893,910 and 4,938,270,129

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Solution

The third proportional to 3,300,893,910 and 4,938,270,129 is: 7,387,850,846.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,300,893,910 : 4,938,270,129 = 4,938,270,129 : x
  2. Step 2: Convert to fraction form
    3,300,893,910/4,938,270,129 = 4,938,270,129/x
  3. Step 3: Cross multiply
    3,300,893,910x = 4,938,270,129 × 4,938,270,129
  4. Step 4: Simplify right side
    3,300,893,910x = 24,386,511,866,973,675,520
  5. Step 5: Solve for x
    x = 24,386,511,866,973,675,520/3,300,893,910
  6. Step 6: Final answer
    x = 7,387,850,846.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.