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Finding the Third Proportional to 12,860,259 and 27,739,731

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Solution

The third proportional to 12,860,259 and 27,739,731 is: 59,834,928.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,860,259 : 27,739,731 = 27,739,731 : x
  2. Step 2: Convert to fraction form
    12,860,259/27,739,731 = 27,739,731/x
  3. Step 3: Cross multiply
    12,860,259x = 27,739,731 × 27,739,731
  4. Step 4: Simplify right side
    12,860,259x = 769,492,675,952,361
  5. Step 5: Solve for x
    x = 769,492,675,952,361/12,860,259
  6. Step 6: Final answer
    x = 59,834,928.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.