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Finding the Third Proportional to 451,367,607 and 623,687,521.50

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Solution

The third proportional to 451,367,607 and 623,687,521.50 is: 861,794,507.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,367,607 : 623,687,521.50 = 623,687,521.50 : x
  2. Step 2: Convert to fraction form
    451,367,607/623,687,521.50 = 623,687,521.50/x
  3. Step 3: Cross multiply
    451,367,607x = 623,687,521.50 × 623,687,521.50
  4. Step 4: Simplify right side
    451,367,607x = 388,986,124,474,812,992
  5. Step 5: Solve for x
    x = 388,986,124,474,812,992/451,367,607
  6. Step 6: Final answer
    x = 861,794,507.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.