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Finding the Third Proportional to 237,596,416 and 378,066,336

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Solution

The third proportional to 237,596,416 and 378,066,336 is: 601,583,798.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,596,416 : 378,066,336 = 378,066,336 : x
  2. Step 2: Convert to fraction form
    237,596,416/378,066,336 = 378,066,336/x
  3. Step 3: Cross multiply
    237,596,416x = 378,066,336 × 378,066,336
  4. Step 4: Simplify right side
    237,596,416x = 142,934,154,416,464,896
  5. Step 5: Solve for x
    x = 142,934,154,416,464,896/237,596,416
  6. Step 6: Final answer
    x = 601,583,798.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.