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Finding the Third Proportional to 2,407,470,590 and 4,882,633,771

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Solution

The third proportional to 2,407,470,590 and 4,882,633,771 is: 9,902,556,085.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407,470,590 : 4,882,633,771 = 4,882,633,771 : x
  2. Step 2: Convert to fraction form
    2,407,470,590/4,882,633,771 = 4,882,633,771/x
  3. Step 3: Cross multiply
    2,407,470,590x = 4,882,633,771 × 4,882,633,771
  4. Step 4: Simplify right side
    2,407,470,590x = 23,840,112,541,709,680,640
  5. Step 5: Solve for x
    x = 23,840,112,541,709,680,640/2,407,470,590
  6. Step 6: Final answer
    x = 9,902,556,085.52

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.