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Finding the Third Proportional to 44,325,057,866,780 and 95,320,884,525,624

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Solution

The third proportional to 44,325,057,866,780 and 95,320,884,525,624 is: 204,987,234,400,364.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,325,057,866,780 : 95,320,884,525,624 = 95,320,884,525,624 : x
  2. Step 2: Convert to fraction form
    44,325,057,866,780/95,320,884,525,624 = 95,320,884,525,624/x
  3. Step 3: Cross multiply
    44,325,057,866,780x = 95,320,884,525,624 × 95,320,884,525,624
  4. Step 4: Simplify right side
    44,325,057,866,780x = 9,086,071,026,747,344,547,448,094,720
  5. Step 5: Solve for x
    x = 9,086,071,026,747,344,547,448,094,720/44,325,057,866,780
  6. Step 6: Final answer
    x = 204,987,234,400,364.31

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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.