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Finding the Third Proportional to 30,032,968,906 and 40,899,777,379

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Solution

The third proportional to 30,032,968,906 and 40,899,777,379 is: 55,698,515,684.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,032,968,906 : 40,899,777,379 = 40,899,777,379 : x
  2. Step 2: Convert to fraction form
    30,032,968,906/40,899,777,379 = 40,899,777,379/x
  3. Step 3: Cross multiply
    30,032,968,906x = 40,899,777,379 × 40,899,777,379
  4. Step 4: Simplify right side
    30,032,968,906x = 1,672,791,789,651,759,988,736
  5. Step 5: Solve for x
    x = 1,672,791,789,651,759,988,736/30,032,968,906
  6. Step 6: Final answer
    x = 55,698,515,684.13

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.