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Finding the Third Proportional to 1,366,447,271,141 and 2,845,994,575,842

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Solution

The third proportional to 1,366,447,271,141 and 2,845,994,575,842 is: 5,927,550,441,780.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366,447,271,141 : 2,845,994,575,842 = 2,845,994,575,842 : x
  2. Step 2: Convert to fraction form
    1,366,447,271,141/2,845,994,575,842 = 2,845,994,575,842/x
  3. Step 3: Cross multiply
    1,366,447,271,141x = 2,845,994,575,842 × 2,845,994,575,842
  4. Step 4: Simplify right side
    1,366,447,271,141x = 8,099,685,125,722,085,011,750,912
  5. Step 5: Solve for x
    x = 8,099,685,125,722,085,011,750,912/1,366,447,271,141
  6. Step 6: Final answer
    x = 5,927,550,441,780.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.