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Finding the Third Proportional to 425,431,608 and 925,402,736

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Solution

The third proportional to 425,431,608 and 925,402,736 is: 2,012,944,519.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,431,608 : 925,402,736 = 925,402,736 : x
  2. Step 2: Convert to fraction form
    425,431,608/925,402,736 = 925,402,736/x
  3. Step 3: Cross multiply
    425,431,608x = 925,402,736 × 925,402,736
  4. Step 4: Simplify right side
    425,431,608x = 856,370,223,796,285,696
  5. Step 5: Solve for x
    x = 856,370,223,796,285,696/425,431,608
  6. Step 6: Final answer
    x = 2,012,944,519.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.