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Finding the Third Proportional to 6,905,210 and 10,453,783

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Solution

The third proportional to 6,905,210 and 10,453,783 is: 15,825,960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905,210 : 10,453,783 = 10,453,783 : x
  2. Step 2: Convert to fraction form
    6,905,210/10,453,783 = 10,453,783/x
  3. Step 3: Cross multiply
    6,905,210x = 10,453,783 × 10,453,783
  4. Step 4: Simplify right side
    6,905,210x = 109,281,579,011,089
  5. Step 5: Solve for x
    x = 109,281,579,011,089/6,905,210
  6. Step 6: Final answer
    x = 15,825,960.25

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Why These Related Problems?

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