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Finding the Third Proportional to 6,283,709,253 and 13,670,650,233

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Solution

The third proportional to 6,283,709,253 and 13,670,650,233 is: 29,741,458,471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283,709,253 : 13,670,650,233 = 13,670,650,233 : x
  2. Step 2: Convert to fraction form
    6,283,709,253/13,670,650,233 = 13,670,650,233/x
  3. Step 3: Cross multiply
    6,283,709,253x = 13,670,650,233 × 13,670,650,233
  4. Step 4: Simplify right side
    6,283,709,253x = 186,886,677,793,022,967,808
  5. Step 5: Solve for x
    x = 186,886,677,793,022,967,808/6,283,709,253
  6. Step 6: Final answer
    x = 29,741,458,471.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.