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Finding the Third Proportional to 24,028,012.73 and 52,422,316.13

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Solution

The third proportional to 24,028,012.73 and 52,422,316.13 is: 114,370,641.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,028,012.73 : 52,422,316.13 = 52,422,316.13 : x
  2. Step 2: Convert to fraction form
    24,028,012.73/52,422,316.13 = 52,422,316.13/x
  3. Step 3: Cross multiply
    24,028,012.73x = 52,422,316.13 × 52,422,316.13
  4. Step 4: Simplify right side
    24,028,012.73x = 2,748,099,227,909,435
  5. Step 5: Solve for x
    x = 2,748,099,227,909,435/24,028,012.73
  6. Step 6: Final answer
    x = 114,370,641.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.