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Finding the Third Proportional to 48,696,962,998.50 and 104,722,651,476

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Solution

The third proportional to 48,696,962,998.50 and 104,722,651,476 is: 225,205,701,893.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,696,962,998.50 : 104,722,651,476 = 104,722,651,476 : x
  2. Step 2: Convert to fraction form
    48,696,962,998.50/104,722,651,476 = 104,722,651,476/x
  3. Step 3: Cross multiply
    48,696,962,998.50x = 104,722,651,476 × 104,722,651,476
  4. Step 4: Simplify right side
    48,696,962,998.50x = 10,966,833,732,163,765,010,432
  5. Step 5: Solve for x
    x = 10,966,833,732,163,765,010,432/48,696,962,998.50
  6. Step 6: Final answer
    x = 225,205,701,893.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.