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Finding the Third Proportional to 1,595,463,764 and 2,450,827,686

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Solution

The third proportional to 1,595,463,764 and 2,450,827,686 is: 3,764,771,398.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,595,463,764 : 2,450,827,686 = 2,450,827,686 : x
  2. Step 2: Convert to fraction form
    1,595,463,764/2,450,827,686 = 2,450,827,686/x
  3. Step 3: Cross multiply
    1,595,463,764x = 2,450,827,686 × 2,450,827,686
  4. Step 4: Simplify right side
    1,595,463,764x = 6,006,556,346,464,114,688
  5. Step 5: Solve for x
    x = 6,006,556,346,464,114,688/1,595,463,764
  6. Step 6: Final answer
    x = 3,764,771,398.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.