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Finding the Third Proportional to 4,577,524,142 and 9,886,835,836

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Solution

The third proportional to 4,577,524,142 and 9,886,835,836 is: 21,354,234,257.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577,524,142 : 9,886,835,836 = 9,886,835,836 : x
  2. Step 2: Convert to fraction form
    4,577,524,142/9,886,835,836 = 9,886,835,836/x
  3. Step 3: Cross multiply
    4,577,524,142x = 9,886,835,836 × 9,886,835,836
  4. Step 4: Simplify right side
    4,577,524,142x = 97,749,522,848,013,811,712
  5. Step 5: Solve for x
    x = 97,749,522,848,013,811,712/4,577,524,142
  6. Step 6: Final answer
    x = 21,354,234,257.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.