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Finding the Third Proportional to 10,600,474,560 and 15,696,038,074

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Solution

The third proportional to 10,600,474,560 and 15,696,038,074 is: 23,240,998,299.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600,474,560 : 15,696,038,074 = 15,696,038,074 : x
  2. Step 2: Convert to fraction form
    10,600,474,560/15,696,038,074 = 15,696,038,074/x
  3. Step 3: Cross multiply
    10,600,474,560x = 15,696,038,074 × 15,696,038,074
  4. Step 4: Simplify right side
    10,600,474,560x = 246,365,611,220,457,619,456
  5. Step 5: Solve for x
    x = 246,365,611,220,457,619,456/10,600,474,560
  6. Step 6: Final answer
    x = 23,240,998,299.27

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.