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Finding the Third Proportional to 264,101,646 and 579,221,574

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Solution

The third proportional to 264,101,646 and 579,221,574 is: 1,270,335,254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,101,646 : 579,221,574 = 579,221,574 : x
  2. Step 2: Convert to fraction form
    264,101,646/579,221,574 = 579,221,574/x
  3. Step 3: Cross multiply
    264,101,646x = 579,221,574 × 579,221,574
  4. Step 4: Simplify right side
    264,101,646x = 335,497,631,787,037,504
  5. Step 5: Solve for x
    x = 335,497,631,787,037,504/264,101,646
  6. Step 6: Final answer
    x = 1,270,335,254.89

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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.