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Finding the Third Proportional to 4,512,424,848 and 9,896,545,290

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Solution

The third proportional to 4,512,424,848 and 9,896,545,290 is: 21,704,873,095.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512,424,848 : 9,896,545,290 = 9,896,545,290 : x
  2. Step 2: Convert to fraction form
    4,512,424,848/9,896,545,290 = 9,896,545,290/x
  3. Step 3: Cross multiply
    4,512,424,848x = 9,896,545,290 × 9,896,545,290
  4. Step 4: Simplify right side
    4,512,424,848x = 97,941,608,677,021,188,096
  5. Step 5: Solve for x
    x = 97,941,608,677,021,188,096/4,512,424,848
  6. Step 6: Final answer
    x = 21,704,873,095.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.