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Finding the Third Proportional to 993,805,119 and 2,153,234,706

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Solution

The third proportional to 993,805,119 and 2,153,234,706 is: 4,665,320,806.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    993,805,119 : 2,153,234,706 = 2,153,234,706 : x
  2. Step 2: Convert to fraction form
    993,805,119/2,153,234,706 = 2,153,234,706/x
  3. Step 3: Cross multiply
    993,805,119x = 2,153,234,706 × 2,153,234,706
  4. Step 4: Simplify right side
    993,805,119x = 4,636,419,699,122,906,112
  5. Step 5: Solve for x
    x = 4,636,419,699,122,906,112/993,805,119
  6. Step 6: Final answer
    x = 4,665,320,806.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.