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Finding the Third Proportional to 56,685,412,416 and 121,783,122,504

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Solution

The third proportional to 56,685,412,416 and 121,783,122,504 is: 261,639,252,405.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,685,412,416 : 121,783,122,504 = 121,783,122,504 : x
  2. Step 2: Convert to fraction form
    56,685,412,416/121,783,122,504 = 121,783,122,504/x
  3. Step 3: Cross multiply
    56,685,412,416x = 121,783,122,504 × 121,783,122,504
  4. Step 4: Simplify right side
    56,685,412,416x = 14,831,128,926,824,272,232,448
  5. Step 5: Solve for x
    x = 14,831,128,926,824,272,232,448/56,685,412,416
  6. Step 6: Final answer
    x = 261,639,252,405.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.