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Finding the Third Proportional to 11,687,548,974 and 25,030,005,540

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Solution

The third proportional to 11,687,548,974 and 25,030,005,540 is: 53,604,154,192.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687,548,974 : 25,030,005,540 = 25,030,005,540 : x
  2. Step 2: Convert to fraction form
    11,687,548,974/25,030,005,540 = 25,030,005,540/x
  3. Step 3: Cross multiply
    11,687,548,974x = 25,030,005,540 × 25,030,005,540
  4. Step 4: Simplify right side
    11,687,548,974x = 626,501,177,332,430,667,776
  5. Step 5: Solve for x
    x = 626,501,177,332,430,667,776/11,687,548,974
  6. Step 6: Final answer
    x = 53,604,154,192.31

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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.