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Finding the Third Proportional to 775,497,574,394 and 1,697,082,562,046

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Solution

The third proportional to 775,497,574,394 and 1,697,082,562,046 is: 3,713,859,743,083.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,497,574,394 : 1,697,082,562,046 = 1,697,082,562,046 : x
  2. Step 2: Convert to fraction form
    775,497,574,394/1,697,082,562,046 = 1,697,082,562,046/x
  3. Step 3: Cross multiply
    775,497,574,394x = 1,697,082,562,046 × 1,697,082,562,046
  4. Step 4: Simplify right side
    775,497,574,394x = 2,880,089,222,400,615,257,210,880
  5. Step 5: Solve for x
    x = 2,880,089,222,400,615,257,210,880/775,497,574,394
  6. Step 6: Final answer
    x = 3,713,859,743,083.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.