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Finding the Third Proportional to 16,977,403.50 and 36,825,829.50

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Solution

The third proportional to 16,977,403.50 and 36,825,829.50 is: 79,879,218.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,977,403.50 : 36,825,829.50 = 36,825,829.50 : x
  2. Step 2: Convert to fraction form
    16,977,403.50/36,825,829.50 = 36,825,829.50/x
  3. Step 3: Cross multiply
    16,977,403.50x = 36,825,829.50 × 36,825,829.50
  4. Step 4: Simplify right side
    16,977,403.50x = 1,356,141,718,363,070.25
  5. Step 5: Solve for x
    x = 1,356,141,718,363,070.25/16,977,403.50
  6. Step 6: Final answer
    x = 79,879,218.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.