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Finding the Third Proportional to 2,457,416,655 and 5,415,733,098

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Solution

The third proportional to 2,457,416,655 and 5,415,733,098 is: 11,935,365,103.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457,416,655 : 5,415,733,098 = 5,415,733,098 : x
  2. Step 2: Convert to fraction form
    2,457,416,655/5,415,733,098 = 5,415,733,098/x
  3. Step 3: Cross multiply
    2,457,416,655x = 5,415,733,098 × 5,415,733,098
  4. Step 4: Simplify right side
    2,457,416,655x = 29,330,164,988,772,675,584
  5. Step 5: Solve for x
    x = 29,330,164,988,772,675,584/2,457,416,655
  6. Step 6: Final answer
    x = 11,935,365,103.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.