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Finding the Third Proportional to 2,775,389,358 and 6,059,362,556

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Solution

The third proportional to 2,775,389,358 and 6,059,362,556 is: 13,229,089,633.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775,389,358 : 6,059,362,556 = 6,059,362,556 : x
  2. Step 2: Convert to fraction form
    2,775,389,358/6,059,362,556 = 6,059,362,556/x
  3. Step 3: Cross multiply
    2,775,389,358x = 6,059,362,556 × 6,059,362,556
  4. Step 4: Simplify right side
    2,775,389,358x = 36,715,874,585,054,855,168
  5. Step 5: Solve for x
    x = 36,715,874,585,054,855,168/2,775,389,358
  6. Step 6: Final answer
    x = 13,229,089,633.58

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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.