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Finding the Third Proportional to 1,267,949,106 and 2,760,996,648

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Solution

The third proportional to 1,267,949,106 and 2,760,996,648 is: 6,012,151,792.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,949,106 : 2,760,996,648 = 2,760,996,648 : x
  2. Step 2: Convert to fraction form
    1,267,949,106/2,760,996,648 = 2,760,996,648/x
  3. Step 3: Cross multiply
    1,267,949,106x = 2,760,996,648 × 2,760,996,648
  4. Step 4: Simplify right side
    1,267,949,106x = 7,623,102,490,267,236,352
  5. Step 5: Solve for x
    x = 7,623,102,490,267,236,352/1,267,949,106
  6. Step 6: Final answer
    x = 6,012,151,792.37

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.