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Finding the Third Proportional to 10,447,710 and 14,187,731

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Solution

The third proportional to 10,447,710 and 14,187,731 is: 19,266,586.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447,710 : 14,187,731 = 14,187,731 : x
  2. Step 2: Convert to fraction form
    10,447,710/14,187,731 = 14,187,731/x
  3. Step 3: Cross multiply
    10,447,710x = 14,187,731 × 14,187,731
  4. Step 4: Simplify right side
    10,447,710x = 201,291,710,928,361
  5. Step 5: Solve for x
    x = 201,291,710,928,361/10,447,710
  6. Step 6: Final answer
    x = 19,266,586.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.