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Finding the Third Proportional to 30,097,032 and 43,021,832

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Solution

The third proportional to 30,097,032 and 43,021,832 is: 61,497,028.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,097,032 : 43,021,832 = 43,021,832 : x
  2. Step 2: Convert to fraction form
    30,097,032/43,021,832 = 43,021,832/x
  3. Step 3: Cross multiply
    30,097,032x = 43,021,832 × 43,021,832
  4. Step 4: Simplify right side
    30,097,032x = 1,850,878,028,636,224
  5. Step 5: Solve for x
    x = 1,850,878,028,636,224/30,097,032
  6. Step 6: Final answer
    x = 61,497,028.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.