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Finding the Third Proportional to 264,101,768 and 579,221,896

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Solution

The third proportional to 264,101,768 and 579,221,896 is: 1,270,336,080.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,101,768 : 579,221,896 = 579,221,896 : x
  2. Step 2: Convert to fraction form
    264,101,768/579,221,896 = 579,221,896/x
  3. Step 3: Cross multiply
    264,101,768x = 579,221,896 × 579,221,896
  4. Step 4: Simplify right side
    264,101,768x = 335,498,004,805,834,816
  5. Step 5: Solve for x
    x = 335,498,004,805,834,816/264,101,768
  6. Step 6: Final answer
    x = 1,270,336,080.47

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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.