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Finding the Third Proportional to 9,956,150 and 21,714,316

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Solution

The third proportional to 9,956,150 and 21,714,316 is: 47,358,820.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956,150 : 21,714,316 = 21,714,316 : x
  2. Step 2: Convert to fraction form
    9,956,150/21,714,316 = 21,714,316/x
  3. Step 3: Cross multiply
    9,956,150x = 21,714,316 × 21,714,316
  4. Step 4: Simplify right side
    9,956,150x = 471,511,519,347,856
  5. Step 5: Solve for x
    x = 471,511,519,347,856/9,956,150
  6. Step 6: Final answer
    x = 47,358,820.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.