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Finding the Third Proportional to 11,438,316 and 25,143,624

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Solution

The third proportional to 11,438,316 and 25,143,624 is: 55,270,533.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,438,316 : 25,143,624 = 25,143,624 : x
  2. Step 2: Convert to fraction form
    11,438,316/25,143,624 = 25,143,624/x
  3. Step 3: Cross multiply
    11,438,316x = 25,143,624 × 25,143,624
  4. Step 4: Simplify right side
    11,438,316x = 632,201,827,853,376
  5. Step 5: Solve for x
    x = 632,201,827,853,376/11,438,316
  6. Step 6: Final answer
    x = 55,270,533.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.