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Finding the Third Proportional to 14,568,624 and 31,471,506

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Solution

The third proportional to 14,568,624 and 31,471,506 is: 67,985,534.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,568,624 : 31,471,506 = 31,471,506 : x
  2. Step 2: Convert to fraction form
    14,568,624/31,471,506 = 31,471,506/x
  3. Step 3: Cross multiply
    14,568,624x = 31,471,506 × 31,471,506
  4. Step 4: Simplify right side
    14,568,624x = 990,455,689,908,036
  5. Step 5: Solve for x
    x = 990,455,689,908,036/14,568,624
  6. Step 6: Final answer
    x = 67,985,534.52

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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.