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Finding the Third Proportional to 11,833,362,009,548 and 25,447,604,310,307

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Solution

The third proportional to 11,833,362,009,548 and 25,447,604,310,307 is: 54,724,985,562,973.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833,362,009,548 : 25,447,604,310,307 = 25,447,604,310,307 : x
  2. Step 2: Convert to fraction form
    11,833,362,009,548/25,447,604,310,307 = 25,447,604,310,307/x
  3. Step 3: Cross multiply
    11,833,362,009,548x = 25,447,604,310,307 × 25,447,604,310,307
  4. Step 4: Simplify right side
    11,833,362,009,548x = 647,580,565,133,955,431,240,040,448
  5. Step 5: Solve for x
    x = 647,580,565,133,955,431,240,040,448/11,833,362,009,548
  6. Step 6: Final answer
    x = 54,724,985,562,973.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.