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Finding the Third Proportional to 3,285,219,811,530 and 4,829,418,859,639.50

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Solution

The third proportional to 3,285,219,811,530 and 4,829,418,859,639.50 is: 7,099,459,963,070.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285,219,811,530 : 4,829,418,859,639.50 = 4,829,418,859,639.50 : x
  2. Step 2: Convert to fraction form
    3,285,219,811,530/4,829,418,859,639.50 = 4,829,418,859,639.50/x
  3. Step 3: Cross multiply
    3,285,219,811,530x = 4,829,418,859,639.50 × 4,829,418,859,639.50
  4. Step 4: Simplify right side
    3,285,219,811,530x = 23,323,286,521,841,690,301,431,808
  5. Step 5: Solve for x
    x = 23,323,286,521,841,690,301,431,808/3,285,219,811,530
  6. Step 6: Final answer
    x = 7,099,459,963,070.03

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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.