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Finding the Third Proportional to 4,712,950 and 7,206,381

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Solution

The third proportional to 4,712,950 and 7,206,381 is: 11,018,985.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712,950 : 7,206,381 = 7,206,381 : x
  2. Step 2: Convert to fraction form
    4,712,950/7,206,381 = 7,206,381/x
  3. Step 3: Cross multiply
    4,712,950x = 7,206,381 × 7,206,381
  4. Step 4: Simplify right side
    4,712,950x = 51,931,927,117,161
  5. Step 5: Solve for x
    x = 51,931,927,117,161/4,712,950
  6. Step 6: Final answer
    x = 11,018,985.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.