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Finding the Third Proportional to 2,407,470,588 and 4,882,633,767

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Solution

The third proportional to 2,407,470,588 and 4,882,633,767 is: 9,902,556,077.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407,470,588 : 4,882,633,767 = 4,882,633,767 : x
  2. Step 2: Convert to fraction form
    2,407,470,588/4,882,633,767 = 4,882,633,767/x
  3. Step 3: Cross multiply
    2,407,470,588x = 4,882,633,767 × 4,882,633,767
  4. Step 4: Simplify right side
    2,407,470,588x = 23,840,112,502,648,610,816
  5. Step 5: Solve for x
    x = 23,840,112,502,648,610,816/2,407,470,588
  6. Step 6: Final answer
    x = 9,902,556,077.52

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Why These Related Problems?

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