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Finding the Third Proportional to 43,170,021.38 and 66,422,414.63

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Solution

The third proportional to 43,170,021.38 and 66,422,414.63 is: 102,199,096.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,170,021.38 : 66,422,414.63 = 66,422,414.63 : x
  2. Step 2: Convert to fraction form
    43,170,021.38/66,422,414.63 = 66,422,414.63/x
  3. Step 3: Cross multiply
    43,170,021.38x = 66,422,414.63 × 66,422,414.63
  4. Step 4: Simplify right side
    43,170,021.38x = 4,411,937,164,615,414
  5. Step 5: Solve for x
    x = 4,411,937,164,615,414/43,170,021.38
  6. Step 6: Final answer
    x = 102,199,096.13

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.