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Finding the Third Proportional to 2,837,699,263 and 6,630,146,152

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Solution

The third proportional to 2,837,699,263 and 6,630,146,152 is: 15,491,013,642.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,837,699,263 : 6,630,146,152 = 6,630,146,152 : x
  2. Step 2: Convert to fraction form
    2,837,699,263/6,630,146,152 = 6,630,146,152/x
  3. Step 3: Cross multiply
    2,837,699,263x = 6,630,146,152 × 6,630,146,152
  4. Step 4: Simplify right side
    2,837,699,263x = 43,958,837,996,880,404,480
  5. Step 5: Solve for x
    x = 43,958,837,996,880,404,480/2,837,699,263
  6. Step 6: Final answer
    x = 15,491,013,642.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.