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Finding the Third Proportional to 7,278,173,744 and 10,400,699,938

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Solution

The third proportional to 7,278,173,744 and 10,400,699,938 is: 14,862,871,237.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,278,173,744 : 10,400,699,938 = 10,400,699,938 : x
  2. Step 2: Convert to fraction form
    7,278,173,744/10,400,699,938 = 10,400,699,938/x
  3. Step 3: Cross multiply
    7,278,173,744x = 10,400,699,938 × 10,400,699,938
  4. Step 4: Simplify right side
    7,278,173,744x = 108,174,559,200,313,196,544
  5. Step 5: Solve for x
    x = 108,174,559,200,313,196,544/7,278,173,744
  6. Step 6: Final answer
    x = 14,862,871,237.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.