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Finding the Third Proportional to 3,300,893,924 and 4,938,270,147

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Solution

The third proportional to 3,300,893,924 and 4,938,270,147 is: 7,387,850,868.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,300,893,924 : 4,938,270,147 = 4,938,270,147 : x
  2. Step 2: Convert to fraction form
    3,300,893,924/4,938,270,147 = 4,938,270,147/x
  3. Step 3: Cross multiply
    3,300,893,924x = 4,938,270,147 × 4,938,270,147
  4. Step 4: Simplify right side
    3,300,893,924x = 24,386,512,044,751,400,960
  5. Step 5: Solve for x
    x = 24,386,512,044,751,400,960/3,300,893,924
  6. Step 6: Final answer
    x = 7,387,850,868.95

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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.