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Finding the Third Proportional to 12,733,824 and 19,746,240

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Solution

The third proportional to 12,733,824 and 19,746,240 is: 30,620,337.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,733,824 : 19,746,240 = 19,746,240 : x
  2. Step 2: Convert to fraction form
    12,733,824/19,746,240 = 19,746,240/x
  3. Step 3: Cross multiply
    12,733,824x = 19,746,240 × 19,746,240
  4. Step 4: Simplify right side
    12,733,824x = 389,913,994,137,600
  5. Step 5: Solve for x
    x = 389,913,994,137,600/12,733,824
  6. Step 6: Final answer
    x = 30,620,337.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.