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Finding the Third Proportional to 913,628,181 and 1,353,850,717.50

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Solution

The third proportional to 913,628,181 and 1,353,850,717.50 is: 2,006,190,049.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,628,181 : 1,353,850,717.50 = 1,353,850,717.50 : x
  2. Step 2: Convert to fraction form
    913,628,181/1,353,850,717.50 = 1,353,850,717.50/x
  3. Step 3: Cross multiply
    913,628,181x = 1,353,850,717.50 × 1,353,850,717.50
  4. Step 4: Simplify right side
    913,628,181x = 1,832,911,765,275,264,768
  5. Step 5: Solve for x
    x = 1,832,911,765,275,264,768/913,628,181
  6. Step 6: Final answer
    x = 2,006,190,049.07

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.