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Finding the Third Proportional to 2,914,312,648 and 4,476,740,698

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Solution

The third proportional to 2,914,312,648 and 4,476,740,698 is: 6,876,821,294.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,914,312,648 : 4,476,740,698 = 4,476,740,698 : x
  2. Step 2: Convert to fraction form
    2,914,312,648/4,476,740,698 = 4,476,740,698/x
  3. Step 3: Cross multiply
    2,914,312,648x = 4,476,740,698 × 4,476,740,698
  4. Step 4: Simplify right side
    2,914,312,648x = 20,041,207,277,129,527,296
  5. Step 5: Solve for x
    x = 20,041,207,277,129,527,296/2,914,312,648
  6. Step 6: Final answer
    x = 6,876,821,294.68

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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.