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Finding the Third Proportional to 737,222,998 and 1,583,853,526

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Solution

The third proportional to 737,222,998 and 1,583,853,526 is: 3,402,758,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,222,998 : 1,583,853,526 = 1,583,853,526 : x
  2. Step 2: Convert to fraction form
    737,222,998/1,583,853,526 = 1,583,853,526/x
  3. Step 3: Cross multiply
    737,222,998x = 1,583,853,526 × 1,583,853,526
  4. Step 4: Simplify right side
    737,222,998x = 2,508,591,991,822,632,448
  5. Step 5: Solve for x
    x = 2,508,591,991,822,632,448/737,222,998
  6. Step 6: Final answer
    x = 3,402,758,729.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.