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Finding the Third Proportional to 39,716,501 and 85,706,074

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Solution

The third proportional to 39,716,501 and 85,706,074 is: 184,949,100.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,716,501 : 85,706,074 = 85,706,074 : x
  2. Step 2: Convert to fraction form
    39,716,501/85,706,074 = 85,706,074/x
  3. Step 3: Cross multiply
    39,716,501x = 85,706,074 × 85,706,074
  4. Step 4: Simplify right side
    39,716,501x = 7,345,531,120,493,476
  5. Step 5: Solve for x
    x = 7,345,531,120,493,476/39,716,501
  6. Step 6: Final answer
    x = 184,949,100.14

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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.