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Finding the Third Proportional to 6,005,875.50 and 12,956,533.50

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Solution

The third proportional to 6,005,875.50 and 12,956,533.50 is: 27,951,255.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005,875.50 : 12,956,533.50 = 12,956,533.50 : x
  2. Step 2: Convert to fraction form
    6,005,875.50/12,956,533.50 = 12,956,533.50/x
  3. Step 3: Cross multiply
    6,005,875.50x = 12,956,533.50 × 12,956,533.50
  4. Step 4: Simplify right side
    6,005,875.50x = 167,871,760,336,622.25
  5. Step 5: Solve for x
    x = 167,871,760,336,622.25/6,005,875.50
  6. Step 6: Final answer
    x = 27,951,255.46

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.