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Finding the Third Proportional to 2,698,021,092 and 6,016,404,660

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Solution

The third proportional to 2,698,021,092 and 6,016,404,660 is: 13,416,175,707.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698,021,092 : 6,016,404,660 = 6,016,404,660 : x
  2. Step 2: Convert to fraction form
    2,698,021,092/6,016,404,660 = 6,016,404,660/x
  3. Step 3: Cross multiply
    2,698,021,092x = 6,016,404,660 × 6,016,404,660
  4. Step 4: Simplify right side
    2,698,021,092x = 36,197,125,032,869,715,968
  5. Step 5: Solve for x
    x = 36,197,125,032,869,715,968/2,698,021,092
  6. Step 6: Final answer
    x = 13,416,175,707.52

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.