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Finding the Third Proportional to 288,733,623 and 623,489,793

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Solution

The third proportional to 288,733,623 and 623,489,793 is: 1,346,360,420.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,733,623 : 623,489,793 = 623,489,793 : x
  2. Step 2: Convert to fraction form
    288,733,623/623,489,793 = 623,489,793/x
  3. Step 3: Cross multiply
    288,733,623x = 623,489,793 × 623,489,793
  4. Step 4: Simplify right side
    288,733,623x = 388,739,521,975,182,848
  5. Step 5: Solve for x
    x = 388,739,521,975,182,848/288,733,623
  6. Step 6: Final answer
    x = 1,346,360,420.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.