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Finding the Third Proportional to 1,713,912,156 and 3,476,015,619

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Solution

The third proportional to 1,713,912,156 and 3,476,015,619 is: 7,049,768,881.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,713,912,156 : 3,476,015,619 = 3,476,015,619 : x
  2. Step 2: Convert to fraction form
    1,713,912,156/3,476,015,619 = 3,476,015,619/x
  3. Step 3: Cross multiply
    1,713,912,156x = 3,476,015,619 × 3,476,015,619
  4. Step 4: Simplify right side
    1,713,912,156x = 12,082,684,583,531,954,176
  5. Step 5: Solve for x
    x = 12,082,684,583,531,954,176/1,713,912,156
  6. Step 6: Final answer
    x = 7,049,768,881.81

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.