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Finding the Third Proportional to 18,592,961,223 and 39,838,452,532

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Solution

The third proportional to 18,592,961,223 and 39,838,452,532 is: 85,360,383,486.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,592,961,223 : 39,838,452,532 = 39,838,452,532 : x
  2. Step 2: Convert to fraction form
    18,592,961,223/39,838,452,532 = 39,838,452,532/x
  3. Step 3: Cross multiply
    18,592,961,223x = 39,838,452,532 × 39,838,452,532
  4. Step 4: Simplify right side
    18,592,961,223x = 1,587,102,300,144,417,112,064
  5. Step 5: Solve for x
    x = 1,587,102,300,144,417,112,064/18,592,961,223
  6. Step 6: Final answer
    x = 85,360,383,486.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.