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Finding the Third Proportional to 453,698,064 and 995,233,056

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Solution

The third proportional to 453,698,064 and 995,233,056 is: 2,183,145,387.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,698,064 : 995,233,056 = 995,233,056 : x
  2. Step 2: Convert to fraction form
    453,698,064/995,233,056 = 995,233,056/x
  3. Step 3: Cross multiply
    453,698,064x = 995,233,056 × 995,233,056
  4. Step 4: Simplify right side
    453,698,064x = 990,488,835,755,099,136
  5. Step 5: Solve for x
    x = 990,488,835,755,099,136/453,698,064
  6. Step 6: Final answer
    x = 2,183,145,387.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.