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Finding the Third Proportional to 6,774,665,012 and 14,675,069,677

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Solution

The third proportional to 6,774,665,012 and 14,675,069,677 is: 31,788,681,749.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774,665,012 : 14,675,069,677 = 14,675,069,677 : x
  2. Step 2: Convert to fraction form
    6,774,665,012/14,675,069,677 = 14,675,069,677/x
  3. Step 3: Cross multiply
    6,774,665,012x = 14,675,069,677 × 14,675,069,677
  4. Step 4: Simplify right side
    6,774,665,012x = 215,357,670,024,804,892,672
  5. Step 5: Solve for x
    x = 215,357,670,024,804,892,672/6,774,665,012
  6. Step 6: Final answer
    x = 31,788,681,749.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.