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Finding the Third Proportional to 1,368,672,076.13 and 2,809,900,904.63

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Solution

The third proportional to 1,368,672,076.13 and 2,809,900,904.63 is: 5,768,761,730.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368,672,076.13 : 2,809,900,904.63 = 2,809,900,904.63 : x
  2. Step 2: Convert to fraction form
    1,368,672,076.13/2,809,900,904.63 = 2,809,900,904.63/x
  3. Step 3: Cross multiply
    1,368,672,076.13x = 2,809,900,904.63 × 2,809,900,904.63
  4. Step 4: Simplify right side
    1,368,672,076.13x = 7,895,543,093,812,392,960
  5. Step 5: Solve for x
    x = 7,895,543,093,812,392,960/1,368,672,076.13
  6. Step 6: Final answer
    x = 5,768,761,730.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.