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Finding the Third Proportional to 7,000,326 and 10,500,678

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Solution

The third proportional to 7,000,326 and 10,500,678 is: 15,751,300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000,326 : 10,500,678 = 10,500,678 : x
  2. Step 2: Convert to fraction form
    7,000,326/10,500,678 = 10,500,678/x
  3. Step 3: Cross multiply
    7,000,326x = 10,500,678 × 10,500,678
  4. Step 4: Simplify right side
    7,000,326x = 110,264,238,459,684
  5. Step 5: Solve for x
    x = 110,264,238,459,684/7,000,326
  6. Step 6: Final answer
    x = 15,751,300.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.