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Finding the Third Proportional to 30,185,983.13 and 47,072,583.38

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Solution

The third proportional to 30,185,983.13 and 47,072,583.38 is: 73,405,861.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,185,983.13 : 47,072,583.38 = 47,072,583.38 : x
  2. Step 2: Convert to fraction form
    30,185,983.13/47,072,583.38 = 47,072,583.38/x
  3. Step 3: Cross multiply
    30,185,983.13x = 47,072,583.38 × 47,072,583.38
  4. Step 4: Simplify right side
    30,185,983.13x = 2,215,828,105,596,326.50
  5. Step 5: Solve for x
    x = 2,215,828,105,596,326.50/30,185,983.13
  6. Step 6: Final answer
    x = 73,405,861.80

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.