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Finding the Third Proportional to 4,437,682,628 and 9,762,886,256

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Solution

The third proportional to 4,437,682,628 and 9,762,886,256 is: 21,478,315,606.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,437,682,628 : 9,762,886,256 = 9,762,886,256 : x
  2. Step 2: Convert to fraction form
    4,437,682,628/9,762,886,256 = 9,762,886,256/x
  3. Step 3: Cross multiply
    4,437,682,628x = 9,762,886,256 × 9,762,886,256
  4. Step 4: Simplify right side
    4,437,682,628x = 95,313,948,047,593,701,376
  5. Step 5: Solve for x
    x = 95,313,948,047,593,701,376/4,437,682,628
  6. Step 6: Final answer
    x = 21,478,315,606.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.