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Finding the Third Proportional to 12,859,614 and 19,894,113

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Solution

The third proportional to 12,859,614 and 19,894,113 is: 30,776,641.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,859,614 : 19,894,113 = 19,894,113 : x
  2. Step 2: Convert to fraction form
    12,859,614/19,894,113 = 19,894,113/x
  3. Step 3: Cross multiply
    12,859,614x = 19,894,113 × 19,894,113
  4. Step 4: Simplify right side
    12,859,614x = 395,775,732,056,769
  5. Step 5: Solve for x
    x = 395,775,732,056,769/12,859,614
  6. Step 6: Final answer
    x = 30,776,641.67

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Why These Related Problems?

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