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Finding the Third Proportional to 1,918,653,073,960.50 and 4,266,289,590,639.80

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Solution

The third proportional to 1,918,653,073,960.50 and 4,266,289,590,639.80 is: 9,486,460,641,699.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,918,653,073,960.50 : 4,266,289,590,639.80 = 4,266,289,590,639.80 : x
  2. Step 2: Convert to fraction form
    1,918,653,073,960.50/4,266,289,590,639.80 = 4,266,289,590,639.80/x
  3. Step 3: Cross multiply
    1,918,653,073,960.50x = 4,266,289,590,639.80 × 4,266,289,590,639.80
  4. Step 4: Simplify right side
    1,918,653,073,960.50x = 18,201,226,871,201,511,220,707,328
  5. Step 5: Solve for x
    x = 18,201,226,871,201,511,220,707,328/1,918,653,073,960.50
  6. Step 6: Final answer
    x = 9,486,460,641,699.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.