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Finding the Third Proportional to 315,055,676,081 and 677,895,363,140

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Solution

The third proportional to 315,055,676,081 and 677,895,363,140 is: 1,458,606,075,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,055,676,081 : 677,895,363,140 = 677,895,363,140 : x
  2. Step 2: Convert to fraction form
    315,055,676,081/677,895,363,140 = 677,895,363,140/x
  3. Step 3: Cross multiply
    315,055,676,081x = 677,895,363,140 × 677,895,363,140
  4. Step 4: Simplify right side
    315,055,676,081x = 459,542,123,366,712,462,016,512
  5. Step 5: Solve for x
    x = 459,542,123,366,712,462,016,512/315,055,676,081
  6. Step 6: Final answer
    x = 1,458,606,075,862.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.