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Finding the Third Proportional to 3,228,941,169 and 5,054,174,828

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Solution

The third proportional to 3,228,941,169 and 5,054,174,828 is: 7,911,164,017.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228,941,169 : 5,054,174,828 = 5,054,174,828 : x
  2. Step 2: Convert to fraction form
    3,228,941,169/5,054,174,828 = 5,054,174,828/x
  3. Step 3: Cross multiply
    3,228,941,169x = 5,054,174,828 × 5,054,174,828
  4. Step 4: Simplify right side
    3,228,941,169x = 25,544,683,191,988,830,208
  5. Step 5: Solve for x
    x = 25,544,683,191,988,830,208/3,228,941,169
  6. Step 6: Final answer
    x = 7,911,164,017.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.