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Finding the Third Proportional to 3,285,219,814,467 and 4,829,418,863,571

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Solution

The third proportional to 3,285,219,814,467 and 4,829,418,863,571 is: 7,099,459,968,282.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285,219,814,467 : 4,829,418,863,571 = 4,829,418,863,571 : x
  2. Step 2: Convert to fraction form
    3,285,219,814,467/4,829,418,863,571 = 4,829,418,863,571/x
  3. Step 3: Cross multiply
    3,285,219,814,467x = 4,829,418,863,571 × 4,829,418,863,571
  4. Step 4: Simplify right side
    3,285,219,814,467x = 23,323,286,559,815,407,425,814,528
  5. Step 5: Solve for x
    x = 23,323,286,559,815,407,425,814,528/3,285,219,814,467
  6. Step 6: Final answer
    x = 7,099,459,968,282.04

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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.