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Finding the Third Proportional to 13,709,320,869 and 29,852,450,214

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Solution

The third proportional to 13,709,320,869 and 29,852,450,214 is: 65,004,590,110.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709,320,869 : 29,852,450,214 = 29,852,450,214 : x
  2. Step 2: Convert to fraction form
    13,709,320,869/29,852,450,214 = 29,852,450,214/x
  3. Step 3: Cross multiply
    13,709,320,869x = 29,852,450,214 × 29,852,450,214
  4. Step 4: Simplify right side
    13,709,320,869x = 891,168,783,779,348,611,072
  5. Step 5: Solve for x
    x = 891,168,783,779,348,611,072/13,709,320,869
  6. Step 6: Final answer
    x = 65,004,590,110.26

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