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Finding the Third Proportional to 351,495,310,520 and 762,911,656,690

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Solution

The third proportional to 351,495,310,520 and 762,911,656,690 is: 1,655,880,401,512.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,495,310,520 : 762,911,656,690 = 762,911,656,690 : x
  2. Step 2: Convert to fraction form
    351,495,310,520/762,911,656,690 = 762,911,656,690/x
  3. Step 3: Cross multiply
    351,495,310,520x = 762,911,656,690 × 762,911,656,690
  4. Step 4: Simplify right side
    351,495,310,520x = 582,034,195,913,480,450,605,056
  5. Step 5: Solve for x
    x = 582,034,195,913,480,450,605,056/351,495,310,520
  6. Step 6: Final answer
    x = 1,655,880,401,512.11

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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.