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Finding the Third Proportional to 538,590,937.50 and 818,745,961.50

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Solution

The third proportional to 538,590,937.50 and 818,745,961.50 is: 1,244,627,235.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,590,937.50 : 818,745,961.50 = 818,745,961.50 : x
  2. Step 2: Convert to fraction form
    538,590,937.50/818,745,961.50 = 818,745,961.50/x
  3. Step 3: Cross multiply
    538,590,937.50x = 818,745,961.50 × 818,745,961.50
  4. Step 4: Simplify right side
    538,590,937.50x = 670,344,949,472,559,488
  5. Step 5: Solve for x
    x = 670,344,949,472,559,488/538,590,937.50
  6. Step 6: Final answer
    x = 1,244,627,235.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.