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Finding the Third Proportional to 9,462,697 and 14,178,303

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Solution

The third proportional to 9,462,697 and 14,178,303 is: 21,243,866.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462,697 : 14,178,303 = 14,178,303 : x
  2. Step 2: Convert to fraction form
    9,462,697/14,178,303 = 14,178,303/x
  3. Step 3: Cross multiply
    9,462,697x = 14,178,303 × 14,178,303
  4. Step 4: Simplify right side
    9,462,697x = 201,024,275,959,809
  5. Step 5: Solve for x
    x = 201,024,275,959,809/9,462,697
  6. Step 6: Final answer
    x = 21,243,866.94

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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.