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Finding the Third Proportional to 1,279,973,476,485 and 1,849,340,637,333

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Solution

The third proportional to 1,279,973,476,485 and 1,849,340,637,333 is: 2,671,977,861,825.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279,973,476,485 : 1,849,340,637,333 = 1,849,340,637,333 : x
  2. Step 2: Convert to fraction form
    1,279,973,476,485/1,849,340,637,333 = 1,849,340,637,333/x
  3. Step 3: Cross multiply
    1,279,973,476,485x = 1,849,340,637,333 × 1,849,340,637,333
  4. Step 4: Simplify right side
    1,279,973,476,485x = 3,420,060,792,891,226,600,767,488
  5. Step 5: Solve for x
    x = 3,420,060,792,891,226,600,767,488/1,279,973,476,485
  6. Step 6: Final answer
    x = 2,671,977,861,825.10

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.