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Finding the Third Proportional to 4,384,666,230 and 10,231,241,422.50

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Solution

The third proportional to 4,384,666,230 and 10,231,241,422.50 is: 23,873,721,636.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384,666,230 : 10,231,241,422.50 = 10,231,241,422.50 : x
  2. Step 2: Convert to fraction form
    4,384,666,230/10,231,241,422.50 = 10,231,241,422.50/x
  3. Step 3: Cross multiply
    4,384,666,230x = 10,231,241,422.50 × 10,231,241,422.50
  4. Step 4: Simplify right side
    4,384,666,230x = 104,678,301,045,479,817,216
  5. Step 5: Solve for x
    x = 104,678,301,045,479,817,216/4,384,666,230
  6. Step 6: Final answer
    x = 23,873,721,636.84

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.