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Finding the Third Proportional to 288,733,641 and 623,489,835

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Solution

The third proportional to 288,733,641 and 623,489,835 is: 1,346,360,517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,733,641 : 623,489,835 = 623,489,835 : x
  2. Step 2: Convert to fraction form
    288,733,641/623,489,835 = 623,489,835/x
  3. Step 3: Cross multiply
    288,733,641x = 623,489,835 × 623,489,835
  4. Step 4: Simplify right side
    288,733,641x = 388,739,574,348,327,232
  5. Step 5: Solve for x
    x = 388,739,574,348,327,232/288,733,641
  6. Step 6: Final answer
    x = 1,346,360,517.61

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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.