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Finding the Third Proportional to 7,750,297 and 12,761,673

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Solution

The third proportional to 7,750,297 and 12,761,673 is: 21,013,426.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750,297 : 12,761,673 = 12,761,673 : x
  2. Step 2: Convert to fraction form
    7,750,297/12,761,673 = 12,761,673/x
  3. Step 3: Cross multiply
    7,750,297x = 12,761,673 × 12,761,673
  4. Step 4: Simplify right side
    7,750,297x = 162,860,297,758,929
  5. Step 5: Solve for x
    x = 162,860,297,758,929/7,750,297
  6. Step 6: Final answer
    x = 21,013,426.68

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.