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Finding the Third Proportional to 727,835,513.63 and 1,594,214,401.78

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Solution

The third proportional to 727,835,513.63 and 1,594,214,401.78 is: 3,491,887,261.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,835,513.63 : 1,594,214,401.78 = 1,594,214,401.78 : x
  2. Step 2: Convert to fraction form
    727,835,513.63/1,594,214,401.78 = 1,594,214,401.78/x
  3. Step 3: Cross multiply
    727,835,513.63x = 1,594,214,401.78 × 1,594,214,401.78
  4. Step 4: Simplify right side
    727,835,513.63x = 2,541,519,558,846,588,928
  5. Step 5: Solve for x
    x = 2,541,519,558,846,588,928/727,835,513.63
  6. Step 6: Final answer
    x = 3,491,887,261.98

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.