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Finding the Third Proportional to 1,619,572,557,290 and 3,482,885,214,820

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Solution

The third proportional to 1,619,572,557,290 and 3,482,885,214,820 is: 7,489,932,676,995.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619,572,557,290 : 3,482,885,214,820 = 3,482,885,214,820 : x
  2. Step 2: Convert to fraction form
    1,619,572,557,290/3,482,885,214,820 = 3,482,885,214,820/x
  3. Step 3: Cross multiply
    1,619,572,557,290x = 3,482,885,214,820 × 3,482,885,214,820
  4. Step 4: Simplify right side
    1,619,572,557,290x = 12,130,489,419,611,757,824,966,656
  5. Step 5: Solve for x
    x = 12,130,489,419,611,757,824,966,656/1,619,572,557,290
  6. Step 6: Final answer
    x = 7,489,932,676,995.64

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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.