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Finding the Third Proportional to 553,925,962 and 1,196,295,006

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Solution

The third proportional to 553,925,962 and 1,196,295,006 is: 2,583,597,519.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,925,962 : 1,196,295,006 = 1,196,295,006 : x
  2. Step 2: Convert to fraction form
    553,925,962/1,196,295,006 = 1,196,295,006/x
  3. Step 3: Cross multiply
    553,925,962x = 1,196,295,006 × 1,196,295,006
  4. Step 4: Simplify right side
    553,925,962x = 1,431,121,741,380,540,160
  5. Step 5: Solve for x
    x = 1,431,121,741,380,540,160/553,925,962
  6. Step 6: Final answer
    x = 2,583,597,519.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.