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Finding the Third Proportional to 4,237,730,288 and 9,898,099,860

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Solution

The third proportional to 4,237,730,288 and 9,898,099,860 is: 23,119,069,449.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,237,730,288 : 9,898,099,860 = 9,898,099,860 : x
  2. Step 2: Convert to fraction form
    4,237,730,288/9,898,099,860 = 9,898,099,860/x
  3. Step 3: Cross multiply
    4,237,730,288x = 9,898,099,860 × 9,898,099,860
  4. Step 4: Simplify right side
    4,237,730,288x = 97,972,380,838,532,022,272
  5. Step 5: Solve for x
    x = 97,972,380,838,532,022,272/4,237,730,288
  6. Step 6: Final answer
    x = 23,119,069,449.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.