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Finding the Third Proportional to 2,081,678,896,818 and 4,565,489,499,540

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Solution

The third proportional to 2,081,678,896,818 and 4,565,489,499,540 is: 10,012,924,857,081.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,081,678,896,818 : 4,565,489,499,540 = 4,565,489,499,540 : x
  2. Step 2: Convert to fraction form
    2,081,678,896,818/4,565,489,499,540 = 4,565,489,499,540/x
  3. Step 3: Cross multiply
    2,081,678,896,818x = 4,565,489,499,540 × 4,565,489,499,540
  4. Step 4: Simplify right side
    2,081,678,896,818x = 20,843,694,370,409,999,241,314,304
  5. Step 5: Solve for x
    x = 20,843,694,370,409,999,241,314,304/2,081,678,896,818
  6. Step 6: Final answer
    x = 10,012,924,857,081.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.