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Finding the Third Proportional to 747,715,480 and 1,627,095,466

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Solution

The third proportional to 747,715,480 and 1,627,095,466 is: 3,540,704,621.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,715,480 : 1,627,095,466 = 1,627,095,466 : x
  2. Step 2: Convert to fraction form
    747,715,480/1,627,095,466 = 1,627,095,466/x
  3. Step 3: Cross multiply
    747,715,480x = 1,627,095,466 × 1,627,095,466
  4. Step 4: Simplify right side
    747,715,480x = 2,647,439,655,477,756,928
  5. Step 5: Solve for x
    x = 2,647,439,655,477,756,928/747,715,480
  6. Step 6: Final answer
    x = 3,540,704,621.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.