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Finding the Third Proportional to 12,584,516 and 19,895,831

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Solution

The third proportional to 12,584,516 and 19,895,831 is: 31,454,852.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584,516 : 19,895,831 = 19,895,831 : x
  2. Step 2: Convert to fraction form
    12,584,516/19,895,831 = 19,895,831/x
  3. Step 3: Cross multiply
    12,584,516x = 19,895,831 × 19,895,831
  4. Step 4: Simplify right side
    12,584,516x = 395,844,091,180,561
  5. Step 5: Solve for x
    x = 395,844,091,180,561/12,584,516
  6. Step 6: Final answer
    x = 31,454,852.23

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.