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Finding the Third Proportional to 8,178,320 and 12,830,495.50

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Solution

The third proportional to 8,178,320 and 12,830,495.50 is: 20,129,025.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178,320 : 12,830,495.50 = 12,830,495.50 : x
  2. Step 2: Convert to fraction form
    8,178,320/12,830,495.50 = 12,830,495.50/x
  3. Step 3: Cross multiply
    8,178,320x = 12,830,495.50 × 12,830,495.50
  4. Step 4: Simplify right side
    8,178,320x = 164,621,614,775,520.25
  5. Step 5: Solve for x
    x = 164,621,614,775,520.25/8,178,320
  6. Step 6: Final answer
    x = 20,129,025.86

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.