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Finding the Third Proportional to 1,673,517,790 and 3,648,362,948

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Solution

The third proportional to 1,673,517,790 and 3,648,362,948 is: 7,953,636,513.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673,517,790 : 3,648,362,948 = 3,648,362,948 : x
  2. Step 2: Convert to fraction form
    1,673,517,790/3,648,362,948 = 3,648,362,948/x
  3. Step 3: Cross multiply
    1,673,517,790x = 3,648,362,948 × 3,648,362,948
  4. Step 4: Simplify right side
    1,673,517,790x = 13,310,552,200,339,251,200
  5. Step 5: Solve for x
    x = 13,310,552,200,339,251,200/1,673,517,790
  6. Step 6: Final answer
    x = 7,953,636,513.38

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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.