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Finding the Third Proportional to 11,833,362,009,543 and 25,447,604,310,303

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Solution

The third proportional to 11,833,362,009,543 and 25,447,604,310,303 is: 54,724,985,562,979.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833,362,009,543 : 25,447,604,310,303 = 25,447,604,310,303 : x
  2. Step 2: Convert to fraction form
    11,833,362,009,543/25,447,604,310,303 = 25,447,604,310,303/x
  3. Step 3: Cross multiply
    11,833,362,009,543x = 25,447,604,310,303 × 25,447,604,310,303
  4. Step 4: Simplify right side
    11,833,362,009,543x = 647,580,565,133,751,884,149,948,416
  5. Step 5: Solve for x
    x = 647,580,565,133,751,884,149,948,416/11,833,362,009,543
  6. Step 6: Final answer
    x = 54,724,985,562,979.59

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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.