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Finding the Third Proportional to 982,268,068,490 and 2,137,501,375,176

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Solution

The third proportional to 982,268,068,490 and 2,137,501,375,176 is: 4,651,390,262,439.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    982,268,068,490 : 2,137,501,375,176 = 2,137,501,375,176 : x
  2. Step 2: Convert to fraction form
    982,268,068,490/2,137,501,375,176 = 2,137,501,375,176/x
  3. Step 3: Cross multiply
    982,268,068,490x = 2,137,501,375,176 × 2,137,501,375,176
  4. Step 4: Simplify right side
    982,268,068,490x = 4,568,912,128,879,291,231,371,264
  5. Step 5: Solve for x
    x = 4,568,912,128,879,291,231,371,264/982,268,068,490
  6. Step 6: Final answer
    x = 4,651,390,262,439.14

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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.