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Finding the Third Proportional to 4,157,081,856 and 8,608,831,230

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Solution

The third proportional to 4,157,081,856 and 8,608,831,230 is: 17,827,884,490.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157,081,856 : 8,608,831,230 = 8,608,831,230 : x
  2. Step 2: Convert to fraction form
    4,157,081,856/8,608,831,230 = 8,608,831,230/x
  3. Step 3: Cross multiply
    4,157,081,856x = 8,608,831,230 × 8,608,831,230
  4. Step 4: Simplify right side
    4,157,081,856x = 74,111,975,146,623,320,064
  5. Step 5: Solve for x
    x = 74,111,975,146,623,320,064/4,157,081,856
  6. Step 6: Final answer
    x = 17,827,884,490.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.