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Finding the Third Proportional to 30,407,410.13 and 71,749,000.13

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Solution

The third proportional to 30,407,410.13 and 71,749,000.13 is: 169,298,174.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,407,410.13 : 71,749,000.13 = 71,749,000.13 : x
  2. Step 2: Convert to fraction form
    30,407,410.13/71,749,000.13 = 71,749,000.13/x
  3. Step 3: Cross multiply
    30,407,410.13x = 71,749,000.13 × 71,749,000.13
  4. Step 4: Simplify right side
    30,407,410.13x = 5,147,919,018,937,250
  5. Step 5: Solve for x
    x = 5,147,919,018,937,250/30,407,410.13
  6. Step 6: Final answer
    x = 169,298,174.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.