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Finding the Third Proportional to 2,447,381 and 5,249,047

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Solution

The third proportional to 2,447,381 and 5,249,047 is: 11,257,950.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447,381 : 5,249,047 = 5,249,047 : x
  2. Step 2: Convert to fraction form
    2,447,381/5,249,047 = 5,249,047/x
  3. Step 3: Cross multiply
    2,447,381x = 5,249,047 × 5,249,047
  4. Step 4: Simplify right side
    2,447,381x = 27,552,494,408,209
  5. Step 5: Solve for x
    x = 27,552,494,408,209/2,447,381
  6. Step 6: Final answer
    x = 11,257,950.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.