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Finding the Third Proportional to 422,083,663 and 930,038,908

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Solution

The third proportional to 422,083,663 and 930,038,908 is: 2,049,291,280.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,083,663 : 930,038,908 = 930,038,908 : x
  2. Step 2: Convert to fraction form
    422,083,663/930,038,908 = 930,038,908/x
  3. Step 3: Cross multiply
    422,083,663x = 930,038,908 × 930,038,908
  4. Step 4: Simplify right side
    422,083,663x = 864,972,370,393,832,448
  5. Step 5: Solve for x
    x = 864,972,370,393,832,448/422,083,663
  6. Step 6: Final answer
    x = 2,049,291,280.89

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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.