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Finding the Third Proportional to 71,633,090,400.75 and 153,328,927,563

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Solution

The third proportional to 71,633,090,400.75 and 153,328,927,563 is: 328,196,925,416.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,633,090,400.75 : 153,328,927,563 = 153,328,927,563 : x
  2. Step 2: Convert to fraction form
    71,633,090,400.75/153,328,927,563 = 153,328,927,563/x
  3. Step 3: Cross multiply
    71,633,090,400.75x = 153,328,927,563 × 153,328,927,563
  4. Step 4: Simplify right side
    71,633,090,400.75x = 23,509,760,027,619,701,555,200
  5. Step 5: Solve for x
    x = 23,509,760,027,619,701,555,200/71,633,090,400.75
  6. Step 6: Final answer
    x = 328,196,925,416.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.