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Finding the Third Proportional to 38,570,198.63 and 82,371,313.13

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Solution

The third proportional to 38,570,198.63 and 82,371,313.13 is: 175,913,878.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,570,198.63 : 82,371,313.13 = 82,371,313.13 : x
  2. Step 2: Convert to fraction form
    38,570,198.63/82,371,313.13 = 82,371,313.13/x
  3. Step 3: Cross multiply
    38,570,198.63x = 82,371,313.13 × 82,371,313.13
  4. Step 4: Simplify right side
    38,570,198.63x = 6,785,033,225,936,797
  5. Step 5: Solve for x
    x = 6,785,033,225,936,797/38,570,198.63
  6. Step 6: Final answer
    x = 175,913,878.27

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.