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Finding the Third Proportional to 3,618,622,300 and 7,878,012,218

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Solution

The third proportional to 3,618,622,300 and 7,878,012,218 is: 17,151,023,611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,618,622,300 : 7,878,012,218 = 7,878,012,218 : x
  2. Step 2: Convert to fraction form
    3,618,622,300/7,878,012,218 = 7,878,012,218/x
  3. Step 3: Cross multiply
    3,618,622,300x = 7,878,012,218 × 7,878,012,218
  4. Step 4: Simplify right side
    3,618,622,300x = 62,063,076,506,957,283,328
  5. Step 5: Solve for x
    x = 62,063,076,506,957,283,328/3,618,622,300
  6. Step 6: Final answer
    x = 17,151,023,611.10

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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.