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Finding the Third Proportional to 2,711,672,482,994 and 5,854,713,130,458

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Solution

The third proportional to 2,711,672,482,994 and 5,854,713,130,458 is: 12,640,783,890,726.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,711,672,482,994 : 5,854,713,130,458 = 5,854,713,130,458 : x
  2. Step 2: Convert to fraction form
    2,711,672,482,994/5,854,713,130,458 = 5,854,713,130,458/x
  3. Step 3: Cross multiply
    2,711,672,482,994x = 5,854,713,130,458 × 5,854,713,130,458
  4. Step 4: Simplify right side
    2,711,672,482,994x = 34,277,665,839,957,313,339,785,216
  5. Step 5: Solve for x
    x = 34,277,665,839,957,313,339,785,216/2,711,672,482,994
  6. Step 6: Final answer
    x = 12,640,783,890,726.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.