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Finding the Third Proportional to 422,083,659 and 930,038,901

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Solution

The third proportional to 422,083,659 and 930,038,901 is: 2,049,291,269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,083,659 : 930,038,901 = 930,038,901 : x
  2. Step 2: Convert to fraction form
    422,083,659/930,038,901 = 930,038,901/x
  3. Step 3: Cross multiply
    422,083,659x = 930,038,901 × 930,038,901
  4. Step 4: Simplify right side
    422,083,659x = 864,972,357,373,287,808
  5. Step 5: Solve for x
    x = 864,972,357,373,287,808/422,083,659
  6. Step 6: Final answer
    x = 2,049,291,269.47

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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.