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Finding the Third Proportional to 1,084,866,966 and 2,354,675,643

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Solution

The third proportional to 1,084,866,966 and 2,354,675,643 is: 5,110,762,478.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084,866,966 : 2,354,675,643 = 2,354,675,643 : x
  2. Step 2: Convert to fraction form
    1,084,866,966/2,354,675,643 = 2,354,675,643/x
  3. Step 3: Cross multiply
    1,084,866,966x = 2,354,675,643 × 2,354,675,643
  4. Step 4: Simplify right side
    1,084,866,966x = 5,544,497,383,737,463,808
  5. Step 5: Solve for x
    x = 5,544,497,383,737,463,808/1,084,866,966
  6. Step 6: Final answer
    x = 5,110,762,478.26

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.