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Finding the Third Proportional to 1,285,759,768 and 2,790,709,352

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Solution

The third proportional to 1,285,759,768 and 2,790,709,352 is: 6,057,164,706.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,759,768 : 2,790,709,352 = 2,790,709,352 : x
  2. Step 2: Convert to fraction form
    1,285,759,768/2,790,709,352 = 2,790,709,352/x
  3. Step 3: Cross multiply
    1,285,759,768x = 2,790,709,352 × 2,790,709,352
  4. Step 4: Simplify right side
    1,285,759,768x = 7,788,058,687,340,260,352
  5. Step 5: Solve for x
    x = 7,788,058,687,340,260,352/1,285,759,768
  6. Step 6: Final answer
    x = 6,057,164,706.17

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Why These Related Problems?

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