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Finding the Third Proportional to 323,222,997 and 462,209,437.50

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Solution

The third proportional to 323,222,997 and 462,209,437.50 is: 660,960,284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,222,997 : 462,209,437.50 = 462,209,437.50 : x
  2. Step 2: Convert to fraction form
    323,222,997/462,209,437.50 = 462,209,437.50/x
  3. Step 3: Cross multiply
    323,222,997x = 462,209,437.50 × 462,209,437.50
  4. Step 4: Simplify right side
    323,222,997x = 213,637,564,114,066,400
  5. Step 5: Solve for x
    x = 213,637,564,114,066,400/323,222,997
  6. Step 6: Final answer
    x = 660,960,284.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.