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Finding the Third Proportional to 415,907,330 and 901,167,004

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Solution

The third proportional to 415,907,330 and 901,167,004 is: 1,952,603,165.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,907,330 : 901,167,004 = 901,167,004 : x
  2. Step 2: Convert to fraction form
    415,907,330/901,167,004 = 901,167,004/x
  3. Step 3: Cross multiply
    415,907,330x = 901,167,004 × 901,167,004
  4. Step 4: Simplify right side
    415,907,330x = 812,101,969,098,336,000
  5. Step 5: Solve for x
    x = 812,101,969,098,336,000/415,907,330
  6. Step 6: Final answer
    x = 1,952,603,165.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.