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Finding the Third Proportional to 29,726,992.13 and 65,299,835.25

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Solution

The third proportional to 29,726,992.13 and 65,299,835.25 is: 143,440,966.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,726,992.13 : 65,299,835.25 = 65,299,835.25 : x
  2. Step 2: Convert to fraction form
    29,726,992.13/65,299,835.25 = 65,299,835.25/x
  3. Step 3: Cross multiply
    29,726,992.13x = 65,299,835.25 × 65,299,835.25
  4. Step 4: Simplify right side
    29,726,992.13x = 4,264,068,483,677,142.50
  5. Step 5: Solve for x
    x = 4,264,068,483,677,142.50/29,726,992.13
  6. Step 6: Final answer
    x = 143,440,966.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.