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Finding the Third Proportional to 2,080,054,549,168 and 4,218,595,502,792

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Solution

The third proportional to 2,080,054,549,168 and 4,218,595,502,792 is: 8,555,808,319,207.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080,054,549,168 : 4,218,595,502,792 = 4,218,595,502,792 : x
  2. Step 2: Convert to fraction form
    2,080,054,549,168/4,218,595,502,792 = 4,218,595,502,792/x
  3. Step 3: Cross multiply
    2,080,054,549,168x = 4,218,595,502,792 × 4,218,595,502,792
  4. Step 4: Simplify right side
    2,080,054,549,168x = 17,796,548,016,176,888,077,615,104
  5. Step 5: Solve for x
    x = 17,796,548,016,176,888,077,615,104/2,080,054,549,168
  6. Step 6: Final answer
    x = 8,555,808,319,207.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.