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Finding the Third Proportional to 8,378,964 and 12,812,106.50

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Solution

The third proportional to 8,378,964 and 12,812,106.50 is: 19,590,736.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378,964 : 12,812,106.50 = 12,812,106.50 : x
  2. Step 2: Convert to fraction form
    8,378,964/12,812,106.50 = 12,812,106.50/x
  3. Step 3: Cross multiply
    8,378,964x = 12,812,106.50 × 12,812,106.50
  4. Step 4: Simplify right side
    8,378,964x = 164,150,072,967,342.25
  5. Step 5: Solve for x
    x = 164,150,072,967,342.25/8,378,964
  6. Step 6: Final answer
    x = 19,590,736.15

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.