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Finding the Third Proportional to 3,285,219,811,534 and 4,829,418,859,645

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Solution

The third proportional to 3,285,219,811,534 and 4,829,418,859,645 is: 7,099,459,963,077.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285,219,811,534 : 4,829,418,859,645 = 4,829,418,859,645 : x
  2. Step 2: Convert to fraction form
    3,285,219,811,534/4,829,418,859,645 = 4,829,418,859,645/x
  3. Step 3: Cross multiply
    3,285,219,811,534x = 4,829,418,859,645 × 4,829,418,859,645
  4. Step 4: Simplify right side
    3,285,219,811,534x = 23,323,286,521,894,810,456,948,736
  5. Step 5: Solve for x
    x = 23,323,286,521,894,810,456,948,736/3,285,219,811,534
  6. Step 6: Final answer
    x = 7,099,459,963,077.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.