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Finding the Third Proportional to 39,676,963,627 and 85,665,669,944

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Solution

The third proportional to 39,676,963,627 and 85,665,669,944 is: 184,958,886,369.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,676,963,627 : 85,665,669,944 = 85,665,669,944 : x
  2. Step 2: Convert to fraction form
    39,676,963,627/85,665,669,944 = 85,665,669,944/x
  3. Step 3: Cross multiply
    39,676,963,627x = 85,665,669,944 × 85,665,669,944
  4. Step 4: Simplify right side
    39,676,963,627x = 7,338,607,006,954,344,677,376
  5. Step 5: Solve for x
    x = 7,338,607,006,954,344,677,376/39,676,963,627
  6. Step 6: Final answer
    x = 184,958,886,369.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.