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Finding the Third Proportional to 1,274,191,641 and 3,003,623,430.75

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Solution

The third proportional to 1,274,191,641 and 3,003,623,430.75 is: 7,080,374,272.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274,191,641 : 3,003,623,430.75 = 3,003,623,430.75 : x
  2. Step 2: Convert to fraction form
    1,274,191,641/3,003,623,430.75 = 3,003,623,430.75/x
  3. Step 3: Cross multiply
    1,274,191,641x = 3,003,623,430.75 × 3,003,623,430.75
  4. Step 4: Simplify right side
    1,274,191,641x = 9,021,753,713,750,400,000
  5. Step 5: Solve for x
    x = 9,021,753,713,750,400,000/1,274,191,641
  6. Step 6: Final answer
    x = 7,080,374,272.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.