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Finding the Third Proportional to 565,662,195 and 1,217,775,015

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Solution

The third proportional to 565,662,195 and 1,217,775,015 is: 2,621,663,601.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,662,195 : 1,217,775,015 = 1,217,775,015 : x
  2. Step 2: Convert to fraction form
    565,662,195/1,217,775,015 = 1,217,775,015/x
  3. Step 3: Cross multiply
    565,662,195x = 1,217,775,015 × 1,217,775,015
  4. Step 4: Simplify right side
    565,662,195x = 1,482,975,987,158,250,240
  5. Step 5: Solve for x
    x = 1,482,975,987,158,250,240/565,662,195
  6. Step 6: Final answer
    x = 2,621,663,601.11

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