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Finding the Third Proportional to 12,050,005 and 18,357,360.50

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Solution

The third proportional to 12,050,005 and 18,357,360.50 is: 27,966,186.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,050,005 : 18,357,360.50 = 18,357,360.50 : x
  2. Step 2: Convert to fraction form
    12,050,005/18,357,360.50 = 18,357,360.50/x
  3. Step 3: Cross multiply
    12,050,005x = 18,357,360.50 × 18,357,360.50
  4. Step 4: Simplify right side
    12,050,005x = 336,992,684,526,960.25
  5. Step 5: Solve for x
    x = 336,992,684,526,960.25/12,050,005
  6. Step 6: Final answer
    x = 27,966,186.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.