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Finding the Third Proportional to 12,645,394,487,124 and 17,061,606,232,713

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Solution

The third proportional to 12,645,394,487,124 and 17,061,606,232,713 is: 23,020,112,779,918.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,645,394,487,124 : 17,061,606,232,713 = 17,061,606,232,713 : x
  2. Step 2: Convert to fraction form
    12,645,394,487,124/17,061,606,232,713 = 17,061,606,232,713/x
  3. Step 3: Cross multiply
    12,645,394,487,124x = 17,061,606,232,713 × 17,061,606,232,713
  4. Step 4: Simplify right side
    12,645,394,487,124x = 291,098,407,240,151,084,763,709,440
  5. Step 5: Solve for x
    x = 291,098,407,240,151,084,763,709,440/12,645,394,487,124
  6. Step 6: Final answer
    x = 23,020,112,779,918.26

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.