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Finding the Third Proportional to 1,135,833,061.50 and 1,744,778,652

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Solution

The third proportional to 1,135,833,061.50 and 1,744,778,652 is: 2,680,193,637.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135,833,061.50 : 1,744,778,652 = 1,744,778,652 : x
  2. Step 2: Convert to fraction form
    1,135,833,061.50/1,744,778,652 = 1,744,778,652/x
  3. Step 3: Cross multiply
    1,135,833,061.50x = 1,744,778,652 × 1,744,778,652
  4. Step 4: Simplify right side
    1,135,833,061.50x = 3,044,252,544,474,937,344
  5. Step 5: Solve for x
    x = 3,044,252,544,474,937,344/1,135,833,061.50
  6. Step 6: Final answer
    x = 2,680,193,637.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.