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Finding the Third Proportional to 5,416,032 and 11,678,448

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Solution

The third proportional to 5,416,032 and 11,678,448 is: 25,181,931.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416,032 : 11,678,448 = 11,678,448 : x
  2. Step 2: Convert to fraction form
    5,416,032/11,678,448 = 11,678,448/x
  3. Step 3: Cross multiply
    5,416,032x = 11,678,448 × 11,678,448
  4. Step 4: Simplify right side
    5,416,032x = 136,386,147,688,704
  5. Step 5: Solve for x
    x = 136,386,147,688,704/5,416,032
  6. Step 6: Final answer
    x = 25,181,931.66

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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.