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Finding the Third Proportional to 345,693,004.88 and 760,338,532.97

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Solution

The third proportional to 345,693,004.88 and 760,338,532.97 is: 1,672,335,501.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,693,004.88 : 760,338,532.97 = 760,338,532.97 : x
  2. Step 2: Convert to fraction form
    345,693,004.88/760,338,532.97 = 760,338,532.97/x
  3. Step 3: Cross multiply
    345,693,004.88x = 760,338,532.97 × 760,338,532.97
  4. Step 4: Simplify right side
    345,693,004.88x = 578,114,684,717,070,976
  5. Step 5: Solve for x
    x = 578,114,684,717,070,976/345,693,004.88
  6. Step 6: Final answer
    x = 1,672,335,501.63

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.