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Finding the Third Proportional to 1,774,599,666 and 2,758,673,871

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Solution

The third proportional to 1,774,599,666 and 2,758,673,871 is: 4,288,449,768.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774,599,666 : 2,758,673,871 = 2,758,673,871 : x
  2. Step 2: Convert to fraction form
    1,774,599,666/2,758,673,871 = 2,758,673,871/x
  3. Step 3: Cross multiply
    1,774,599,666x = 2,758,673,871 × 2,758,673,871
  4. Step 4: Simplify right side
    1,774,599,666x = 7,610,281,526,538,124,288
  5. Step 5: Solve for x
    x = 7,610,281,526,538,124,288/1,774,599,666
  6. Step 6: Final answer
    x = 4,288,449,768.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.