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Finding the Third Proportional to 3,658,968,790 and 4,936,807,962

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Solution

The third proportional to 3,658,968,790 and 4,936,807,962 is: 6,660,913,020.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658,968,790 : 4,936,807,962 = 4,936,807,962 : x
  2. Step 2: Convert to fraction form
    3,658,968,790/4,936,807,962 = 4,936,807,962/x
  3. Step 3: Cross multiply
    3,658,968,790x = 4,936,807,962 × 4,936,807,962
  4. Step 4: Simplify right side
    3,658,968,790x = 24,372,072,853,666,594,816
  5. Step 5: Solve for x
    x = 24,372,072,853,666,594,816/3,658,968,790
  6. Step 6: Final answer
    x = 6,660,913,020.16

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.