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Finding the Third Proportional to 30,185,982 and 47,072,584.13

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Solution

The third proportional to 30,185,982 and 47,072,584.13 is: 73,405,866.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,185,982 : 47,072,584.13 = 47,072,584.13 : x
  2. Step 2: Convert to fraction form
    30,185,982/47,072,584.13 = 47,072,584.13/x
  3. Step 3: Cross multiply
    30,185,982x = 47,072,584.13 × 47,072,584.13
  4. Step 4: Simplify right side
    30,185,982x = 2,215,828,176,205,202
  5. Step 5: Solve for x
    x = 2,215,828,176,205,202/30,185,982
  6. Step 6: Final answer
    x = 73,405,866.88

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Why These Related Problems?

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