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Finding the Third Proportional to 39,989,445,924 and 85,997,165,925

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Solution

The third proportional to 39,989,445,924 and 85,997,165,925 is: 184,936,609,554.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,989,445,924 : 85,997,165,925 = 85,997,165,925 : x
  2. Step 2: Convert to fraction form
    39,989,445,924/85,997,165,925 = 85,997,165,925/x
  3. Step 3: Cross multiply
    39,989,445,924x = 85,997,165,925 × 85,997,165,925
  4. Step 4: Simplify right side
    39,989,445,924x = 7,395,512,547,131,981,299,712
  5. Step 5: Solve for x
    x = 7,395,512,547,131,981,299,712/39,989,445,924
  6. Step 6: Final answer
    x = 184,936,609,554.11

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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.