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Finding the Third Proportional to 3,285,219,811,532 and 4,829,418,859,642

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Solution

The third proportional to 3,285,219,811,532 and 4,829,418,859,642 is: 7,099,459,963,073.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285,219,811,532 : 4,829,418,859,642 = 4,829,418,859,642 : x
  2. Step 2: Convert to fraction form
    3,285,219,811,532/4,829,418,859,642 = 4,829,418,859,642/x
  3. Step 3: Cross multiply
    3,285,219,811,532x = 4,829,418,859,642 × 4,829,418,859,642
  4. Step 4: Simplify right side
    3,285,219,811,532x = 23,323,286,521,865,836,607,569,920
  5. Step 5: Solve for x
    x = 23,323,286,521,865,836,607,569,920/3,285,219,811,532
  6. Step 6: Final answer
    x = 7,099,459,963,073.05

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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.