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Finding the Third Proportional to 2,774,587,884 and 4,008,800,328

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Solution

The third proportional to 2,774,587,884 and 4,008,800,328 is: 5,792,024,164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774,587,884 : 4,008,800,328 = 4,008,800,328 : x
  2. Step 2: Convert to fraction form
    2,774,587,884/4,008,800,328 = 4,008,800,328/x
  3. Step 3: Cross multiply
    2,774,587,884x = 4,008,800,328 × 4,008,800,328
  4. Step 4: Simplify right side
    2,774,587,884x = 16,070,480,069,772,908,544
  5. Step 5: Solve for x
    x = 16,070,480,069,772,908,544/2,774,587,884
  6. Step 6: Final answer
    x = 5,792,024,164.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.