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Finding the Third Proportional to 411,602,183,858 and 891,584,054,500

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Solution

The third proportional to 411,602,183,858 and 891,584,054,500 is: 1,931,287,435,814.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,602,183,858 : 891,584,054,500 = 891,584,054,500 : x
  2. Step 2: Convert to fraction form
    411,602,183,858/891,584,054,500 = 891,584,054,500/x
  3. Step 3: Cross multiply
    411,602,183,858x = 891,584,054,500 × 891,584,054,500
  4. Step 4: Simplify right side
    411,602,183,858x = 794,922,126,238,658,915,729,408
  5. Step 5: Solve for x
    x = 794,922,126,238,658,915,729,408/411,602,183,858
  6. Step 6: Final answer
    x = 1,931,287,435,814.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.