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Finding the Third Proportional to 3,266,809,348 and 5,021,320,134

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Solution

The third proportional to 3,266,809,348 and 5,021,320,134 is: 7,718,128,976.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266,809,348 : 5,021,320,134 = 5,021,320,134 : x
  2. Step 2: Convert to fraction form
    3,266,809,348/5,021,320,134 = 5,021,320,134/x
  3. Step 3: Cross multiply
    3,266,809,348x = 5,021,320,134 × 5,021,320,134
  4. Step 4: Simplify right side
    3,266,809,348x = 25,213,655,888,113,778,688
  5. Step 5: Solve for x
    x = 25,213,655,888,113,778,688/3,266,809,348
  6. Step 6: Final answer
    x = 7,718,128,976.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.