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Finding the Third Proportional to 395,895,314 and 869,831,536

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Solution

The third proportional to 395,895,314 and 869,831,536 is: 1,911,128,710.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,895,314 : 869,831,536 = 869,831,536 : x
  2. Step 2: Convert to fraction form
    395,895,314/869,831,536 = 869,831,536/x
  3. Step 3: Cross multiply
    395,895,314x = 869,831,536 × 869,831,536
  4. Step 4: Simplify right side
    395,895,314x = 756,606,901,020,119,296
  5. Step 5: Solve for x
    x = 756,606,901,020,119,296/395,895,314
  6. Step 6: Final answer
    x = 1,911,128,710.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.