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Finding the Third Proportional to 30,097,036 and 43,021,838

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Solution

The third proportional to 30,097,036 and 43,021,838 is: 61,497,037.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,097,036 : 43,021,838 = 43,021,838 : x
  2. Step 2: Convert to fraction form
    30,097,036/43,021,838 = 43,021,838/x
  3. Step 3: Cross multiply
    30,097,036x = 43,021,838 × 43,021,838
  4. Step 4: Simplify right side
    30,097,036x = 1,850,878,544,898,244
  5. Step 5: Solve for x
    x = 1,850,878,544,898,244/30,097,036
  6. Step 6: Final answer
    x = 61,497,037.28

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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.