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Finding the Third Proportional to 187,000,783,263 and 400,480,087,878

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Solution

The third proportional to 187,000,783,263 and 400,480,087,878 is: 857,666,465,285.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,000,783,263 : 400,480,087,878 = 400,480,087,878 : x
  2. Step 2: Convert to fraction form
    187,000,783,263/400,480,087,878 = 400,480,087,878/x
  3. Step 3: Cross multiply
    187,000,783,263x = 400,480,087,878 × 400,480,087,878
  4. Step 4: Simplify right side
    187,000,783,263x = 160,384,300,786,770,587,418,624
  5. Step 5: Solve for x
    x = 160,384,300,786,770,587,418,624/187,000,783,263
  6. Step 6: Final answer
    x = 857,666,465,285.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.