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Finding the Third Proportional to 1,673,517,787 and 3,648,362,942

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Solution

The third proportional to 1,673,517,787 and 3,648,362,942 is: 7,953,636,501.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673,517,787 : 3,648,362,942 = 3,648,362,942 : x
  2. Step 2: Convert to fraction form
    1,673,517,787/3,648,362,942 = 3,648,362,942/x
  3. Step 3: Cross multiply
    1,673,517,787x = 3,648,362,942 × 3,648,362,942
  4. Step 4: Simplify right side
    1,673,517,787x = 13,310,552,156,558,895,104
  5. Step 5: Solve for x
    x = 13,310,552,156,558,895,104/1,673,517,787
  6. Step 6: Final answer
    x = 7,953,636,501.48

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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.