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Finding the Third Proportional to 11,833,362,009,507 and 25,447,604,310,228

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Solution

The third proportional to 11,833,362,009,507 and 25,447,604,310,228 is: 54,724,985,562,823.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,833,362,009,507 : 25,447,604,310,228 = 25,447,604,310,228 : x
  2. Step 2: Convert to fraction form
    11,833,362,009,507/25,447,604,310,228 = 25,447,604,310,228/x
  3. Step 3: Cross multiply
    11,833,362,009,507x = 25,447,604,310,228 × 25,447,604,310,228
  4. Step 4: Simplify right side
    11,833,362,009,507x = 647,580,565,129,934,654,656,217,088
  5. Step 5: Solve for x
    x = 647,580,565,129,934,654,656,217,088/11,833,362,009,507
  6. Step 6: Final answer
    x = 54,724,985,562,823.50

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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.