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Finding the Third Proportional to 3,226,547,940 and 6,943,424,868

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Solution

The third proportional to 3,226,547,940 and 6,943,424,868 is: 14,942,021,564.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226,547,940 : 6,943,424,868 = 6,943,424,868 : x
  2. Step 2: Convert to fraction form
    3,226,547,940/6,943,424,868 = 6,943,424,868/x
  3. Step 3: Cross multiply
    3,226,547,940x = 6,943,424,868 × 6,943,424,868
  4. Step 4: Simplify right side
    3,226,547,940x = 48,211,148,897,560,813,568
  5. Step 5: Solve for x
    x = 48,211,148,897,560,813,568/3,226,547,940
  6. Step 6: Final answer
    x = 14,942,021,564.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.