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Finding the Third Proportional to 308,298,827.11 and 632,941,502.47

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Solution

The third proportional to 308,298,827.11 and 632,941,502.47 is: 1,299,437,137.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,298,827.11 : 632,941,502.47 = 632,941,502.47 : x
  2. Step 2: Convert to fraction form
    308,298,827.11/632,941,502.47 = 632,941,502.47/x
  3. Step 3: Cross multiply
    308,298,827.11x = 632,941,502.47 × 632,941,502.47
  4. Step 4: Simplify right side
    308,298,827.11x = 400,614,945,544,980,864
  5. Step 5: Solve for x
    x = 400,614,945,544,980,864/308,298,827.11
  6. Step 6: Final answer
    x = 1,299,437,137.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.