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Finding the Third Proportional to 2,483,367,316 and 5,407,633,828

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Solution

The third proportional to 2,483,367,316 and 5,407,633,828 is: 11,775,343,675.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,483,367,316 : 5,407,633,828 = 5,407,633,828 : x
  2. Step 2: Convert to fraction form
    2,483,367,316/5,407,633,828 = 5,407,633,828/x
  3. Step 3: Cross multiply
    2,483,367,316x = 5,407,633,828 × 5,407,633,828
  4. Step 4: Simplify right side
    2,483,367,316x = 29,242,503,617,729,933,312
  5. Step 5: Solve for x
    x = 29,242,503,617,729,933,312/2,483,367,316
  6. Step 6: Final answer
    x = 11,775,343,675.23

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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.