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Finding the Third Proportional to 845,914,661.25 and 1,293,187,468.50

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Solution

The third proportional to 845,914,661.25 and 1,293,187,468.50 is: 1,976,953,356.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    845,914,661.25 : 1,293,187,468.50 = 1,293,187,468.50 : x
  2. Step 2: Convert to fraction form
    845,914,661.25/1,293,187,468.50 = 1,293,187,468.50/x
  3. Step 3: Cross multiply
    845,914,661.25x = 1,293,187,468.50 × 1,293,187,468.50
  4. Step 4: Simplify right side
    845,914,661.25x = 1,672,333,828,685,438,464
  5. Step 5: Solve for x
    x = 1,672,333,828,685,438,464/845,914,661.25
  6. Step 6: Final answer
    x = 1,976,953,356.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.