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Finding the Third Proportional to 15,676,824 and 31,983,510

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Solution

The third proportional to 15,676,824 and 31,983,510 is: 65,252,050.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,676,824 : 31,983,510 = 31,983,510 : x
  2. Step 2: Convert to fraction form
    15,676,824/31,983,510 = 31,983,510/x
  3. Step 3: Cross multiply
    15,676,824x = 31,983,510 × 31,983,510
  4. Step 4: Simplify right side
    15,676,824x = 1,022,944,911,920,100
  5. Step 5: Solve for x
    x = 1,022,944,911,920,100/15,676,824
  6. Step 6: Final answer
    x = 65,252,050.54

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.