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Finding the Third Proportional to 1,464,560,066 and 3,208,920,535

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Solution

The third proportional to 1,464,560,066 and 3,208,920,535 is: 7,030,897,017.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464,560,066 : 3,208,920,535 = 3,208,920,535 : x
  2. Step 2: Convert to fraction form
    1,464,560,066/3,208,920,535 = 3,208,920,535/x
  3. Step 3: Cross multiply
    1,464,560,066x = 3,208,920,535 × 3,208,920,535
  4. Step 4: Simplify right side
    1,464,560,066x = 10,297,170,999,944,685,568
  5. Step 5: Solve for x
    x = 10,297,170,999,944,685,568/1,464,560,066
  6. Step 6: Final answer
    x = 7,030,897,017.47

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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.