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Finding the Third Proportional to 29,983,879.69 and 45,344,875.78

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Solution

The third proportional to 29,983,879.69 and 45,344,875.78 is: 68,575,440.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,983,879.69 : 45,344,875.78 = 45,344,875.78 : x
  2. Step 2: Convert to fraction form
    29,983,879.69/45,344,875.78 = 45,344,875.78/x
  3. Step 3: Cross multiply
    29,983,879.69x = 45,344,875.78 × 45,344,875.78
  4. Step 4: Simplify right side
    29,983,879.69x = 2,056,157,759,616,992.75
  5. Step 5: Solve for x
    x = 2,056,157,759,616,992.75/29,983,879.69
  6. Step 6: Final answer
    x = 68,575,440.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.