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Finding the Third Proportional to 411,602,183,856 and 891,584,054,496

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Solution

The third proportional to 411,602,183,856 and 891,584,054,496 is: 1,931,287,435,806.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,602,183,856 : 891,584,054,496 = 891,584,054,496 : x
  2. Step 2: Convert to fraction form
    411,602,183,856/891,584,054,496 = 891,584,054,496/x
  3. Step 3: Cross multiply
    411,602,183,856x = 891,584,054,496 × 891,584,054,496
  4. Step 4: Simplify right side
    411,602,183,856x = 794,922,126,231,526,317,228,032
  5. Step 5: Solve for x
    x = 794,922,126,231,526,317,228,032/411,602,183,856
  6. Step 6: Final answer
    x = 1,931,287,435,806.30

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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.