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Finding the Third Proportional to 543,738,473.24 and 805,415,097.04

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Solution

The third proportional to 543,738,473.24 and 805,415,097.04 is: 1,193,024,791.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,738,473.24 : 805,415,097.04 = 805,415,097.04 : x
  2. Step 2: Convert to fraction form
    543,738,473.24/805,415,097.04 = 805,415,097.04/x
  3. Step 3: Cross multiply
    543,738,473.24x = 805,415,097.04 × 805,415,097.04
  4. Step 4: Simplify right side
    543,738,473.24x = 648,693,478,541,595,776
  5. Step 5: Solve for x
    x = 648,693,478,541,595,776/543,738,473.24
  6. Step 6: Final answer
    x = 1,193,024,791.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.