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Finding the Third Proportional to 9,462,710 and 14,178,319

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Solution

The third proportional to 9,462,710 and 14,178,319 is: 21,243,885.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462,710 : 14,178,319 = 14,178,319 : x
  2. Step 2: Convert to fraction form
    9,462,710/14,178,319 = 14,178,319/x
  3. Step 3: Cross multiply
    9,462,710x = 14,178,319 × 14,178,319
  4. Step 4: Simplify right side
    9,462,710x = 201,024,729,665,761
  5. Step 5: Solve for x
    x = 201,024,729,665,761/9,462,710
  6. Step 6: Final answer
    x = 21,243,885.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.