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Finding the Third Proportional to 56,117,659,432 and 122,114,285,648

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Solution

The third proportional to 56,117,659,432 and 122,114,285,648 is: 265,725,600,644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,117,659,432 : 122,114,285,648 = 122,114,285,648 : x
  2. Step 2: Convert to fraction form
    56,117,659,432/122,114,285,648 = 122,114,285,648/x
  3. Step 3: Cross multiply
    56,117,659,432x = 122,114,285,648 × 122,114,285,648
  4. Step 4: Simplify right side
    56,117,659,432x = 14,911,898,759,321,339,559,936
  5. Step 5: Solve for x
    x = 14,911,898,759,321,339,559,936/56,117,659,432
  6. Step 6: Final answer
    x = 265,725,600,644.32

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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.