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Finding the Third Proportional to 6,905,214 and 10,453,786

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Solution

The third proportional to 6,905,214 and 10,453,786 is: 15,825,960.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905,214 : 10,453,786 = 10,453,786 : x
  2. Step 2: Convert to fraction form
    6,905,214/10,453,786 = 10,453,786/x
  3. Step 3: Cross multiply
    6,905,214x = 10,453,786 × 10,453,786
  4. Step 4: Simplify right side
    6,905,214x = 109,281,641,733,796
  5. Step 5: Solve for x
    x = 109,281,641,733,796/6,905,214
  6. Step 6: Final answer
    x = 15,825,960.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.