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Finding the Third Proportional to 2,457,416,658 and 5,415,733,102

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Solution

The third proportional to 2,457,416,658 and 5,415,733,102 is: 11,935,365,106.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457,416,658 : 5,415,733,102 = 5,415,733,102 : x
  2. Step 2: Convert to fraction form
    2,457,416,658/5,415,733,102 = 5,415,733,102/x
  3. Step 3: Cross multiply
    2,457,416,658x = 5,415,733,102 × 5,415,733,102
  4. Step 4: Simplify right side
    2,457,416,658x = 29,330,165,032,098,541,568
  5. Step 5: Solve for x
    x = 29,330,165,032,098,541,568/2,457,416,658
  6. Step 6: Final answer
    x = 11,935,365,106.53

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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.