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Finding the Third Proportional to 38,851,898,960 and 83,596,403,872

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Solution

The third proportional to 38,851,898,960 and 83,596,403,872 is: 179,871,741,855.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,851,898,960 : 83,596,403,872 = 83,596,403,872 : x
  2. Step 2: Convert to fraction form
    38,851,898,960/83,596,403,872 = 83,596,403,872/x
  3. Step 3: Cross multiply
    38,851,898,960x = 83,596,403,872 × 83,596,403,872
  4. Step 4: Simplify right side
    38,851,898,960x = 6,988,358,740,330,536,763,392
  5. Step 5: Solve for x
    x = 6,988,358,740,330,536,763,392/38,851,898,960
  6. Step 6: Final answer
    x = 179,871,741,855.54

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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.