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Finding the Third Proportional to 7,773,968 and 12,167,297

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Solution

The third proportional to 7,773,968 and 12,167,297 is: 19,043,442.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773,968 : 12,167,297 = 12,167,297 : x
  2. Step 2: Convert to fraction form
    7,773,968/12,167,297 = 12,167,297/x
  3. Step 3: Cross multiply
    7,773,968x = 12,167,297 × 12,167,297
  4. Step 4: Simplify right side
    7,773,968x = 148,043,116,286,209
  5. Step 5: Solve for x
    x = 148,043,116,286,209/7,773,968
  6. Step 6: Final answer
    x = 19,043,442.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.