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Finding the Third Proportional to 589,483,622.25 and 884,657,001.38

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Solution

The third proportional to 589,483,622.25 and 884,657,001.38 is: 1,327,633,170.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,483,622.25 : 884,657,001.38 = 884,657,001.38 : x
  2. Step 2: Convert to fraction form
    589,483,622.25/884,657,001.38 = 884,657,001.38/x
  3. Step 3: Cross multiply
    589,483,622.25x = 884,657,001.38 × 884,657,001.38
  4. Step 4: Simplify right side
    589,483,622.25x = 782,618,010,081,806,720
  5. Step 5: Solve for x
    x = 782,618,010,081,806,720/589,483,622.25
  6. Step 6: Final answer
    x = 1,327,633,170.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.