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Finding the Third Proportional to 351,495,310,477.50 and 762,911,656,614

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Solution

The third proportional to 351,495,310,477.50 and 762,911,656,614 is: 1,655,880,401,382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,495,310,477.50 : 762,911,656,614 = 762,911,656,614 : x
  2. Step 2: Convert to fraction form
    351,495,310,477.50/762,911,656,614 = 762,911,656,614/x
  3. Step 3: Cross multiply
    351,495,310,477.50x = 762,911,656,614 × 762,911,656,614
  4. Step 4: Simplify right side
    351,495,310,477.50x = 582,034,195,797,517,877,116,928
  5. Step 5: Solve for x
    x = 582,034,195,797,517,877,116,928/351,495,310,477.50
  6. Step 6: Final answer
    x = 1,655,880,401,382.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.