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Finding the Third Proportional to 7,773,966 and 12,167,293.50

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Solution

The third proportional to 7,773,966 and 12,167,293.50 is: 19,043,436.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773,966 : 12,167,293.50 = 12,167,293.50 : x
  2. Step 2: Convert to fraction form
    7,773,966/12,167,293.50 = 12,167,293.50/x
  3. Step 3: Cross multiply
    7,773,966x = 12,167,293.50 × 12,167,293.50
  4. Step 4: Simplify right side
    7,773,966x = 148,043,031,115,142.25
  5. Step 5: Solve for x
    x = 148,043,031,115,142.25/7,773,966
  6. Step 6: Final answer
    x = 19,043,436.92

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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.