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Finding the Third Proportional to 10,600,474,534 and 15,696,038,035

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Solution

The third proportional to 10,600,474,534 and 15,696,038,035 is: 23,240,998,240.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600,474,534 : 15,696,038,035 = 15,696,038,035 : x
  2. Step 2: Convert to fraction form
    10,600,474,534/15,696,038,035 = 15,696,038,035/x
  3. Step 3: Cross multiply
    10,600,474,534x = 15,696,038,035 × 15,696,038,035
  4. Step 4: Simplify right side
    10,600,474,534x = 246,365,609,996,166,660,096
  5. Step 5: Solve for x
    x = 246,365,609,996,166,660,096/10,600,474,534
  6. Step 6: Final answer
    x = 23,240,998,240.78

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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.