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Finding the Third Proportional to 6,178,574 and 12,786,772

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Solution

The third proportional to 6,178,574 and 12,786,772 is: 26,462,665.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178,574 : 12,786,772 = 12,786,772 : x
  2. Step 2: Convert to fraction form
    6,178,574/12,786,772 = 12,786,772/x
  3. Step 3: Cross multiply
    6,178,574x = 12,786,772 × 12,786,772
  4. Step 4: Simplify right side
    6,178,574x = 163,501,538,179,984
  5. Step 5: Solve for x
    x = 163,501,538,179,984/6,178,574
  6. Step 6: Final answer
    x = 26,462,665.69

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.