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Finding the Third Proportional to 5,059,095.75 and 11,005,657.88

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Solution

The third proportional to 5,059,095.75 and 11,005,657.88 is: 23,941,927.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059,095.75 : 11,005,657.88 = 11,005,657.88 : x
  2. Step 2: Convert to fraction form
    5,059,095.75/11,005,657.88 = 11,005,657.88/x
  3. Step 3: Cross multiply
    5,059,095.75x = 11,005,657.88 × 11,005,657.88
  4. Step 4: Simplify right side
    5,059,095.75x = 121,124,505,261,549.52
  5. Step 5: Solve for x
    x = 121,124,505,261,549.52/5,059,095.75
  6. Step 6: Final answer
    x = 23,941,927.82

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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.