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Finding the Third Proportional to 543,738,515.63 and 805,415,153.63

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Solution

The third proportional to 543,738,515.63 and 805,415,153.63 is: 1,193,024,865.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,738,515.63 : 805,415,153.63 = 805,415,153.63 : x
  2. Step 2: Convert to fraction form
    543,738,515.63/805,415,153.63 = 805,415,153.63/x
  3. Step 3: Cross multiply
    543,738,515.63x = 805,415,153.63 × 805,415,153.63
  4. Step 4: Simplify right side
    543,738,515.63x = 648,693,569,688,782,336
  5. Step 5: Solve for x
    x = 648,693,569,688,782,336/543,738,515.63
  6. Step 6: Final answer
    x = 1,193,024,865.90

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