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Finding the Third Proportional to 1,346,172,502 and 2,067,885,787

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Solution

The third proportional to 1,346,172,502 and 2,067,885,787 is: 3,176,525,758.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,172,502 : 2,067,885,787 = 2,067,885,787 : x
  2. Step 2: Convert to fraction form
    1,346,172,502/2,067,885,787 = 2,067,885,787/x
  3. Step 3: Cross multiply
    1,346,172,502x = 2,067,885,787 × 2,067,885,787
  4. Step 4: Simplify right side
    1,346,172,502x = 4,276,151,628,076,609,536
  5. Step 5: Solve for x
    x = 4,276,151,628,076,609,536/1,346,172,502
  6. Step 6: Final answer
    x = 3,176,525,758.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.