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Finding the Third Proportional to 237,723,644 and 515,019,685

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Solution

The third proportional to 237,723,644 and 515,019,685 is: 1,115,771,538.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,723,644 : 515,019,685 = 515,019,685 : x
  2. Step 2: Convert to fraction form
    237,723,644/515,019,685 = 515,019,685/x
  3. Step 3: Cross multiply
    237,723,644x = 515,019,685 × 515,019,685
  4. Step 4: Simplify right side
    237,723,644x = 265,245,275,937,499,232
  5. Step 5: Solve for x
    x = 265,245,275,937,499,232/237,723,644
  6. Step 6: Final answer
    x = 1,115,771,538.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.