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Finding the Third Proportional to 20,728,255,465 and 44,759,421,074

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Solution

The third proportional to 20,728,255,465 and 44,759,421,074 is: 96,650,959,279.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,728,255,465 : 44,759,421,074 = 44,759,421,074 : x
  2. Step 2: Convert to fraction form
    20,728,255,465/44,759,421,074 = 44,759,421,074/x
  3. Step 3: Cross multiply
    20,728,255,465x = 44,759,421,074 × 44,759,421,074
  4. Step 4: Simplify right side
    20,728,255,465x = 2,003,405,774,879,635,275,776
  5. Step 5: Solve for x
    x = 2,003,405,774,879,635,275,776/20,728,255,465
  6. Step 6: Final answer
    x = 96,650,959,279.35

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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.