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Finding the Third Proportional to 536,347,955 and 820,116,701

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Solution

The third proportional to 536,347,955 and 820,116,701 is: 1,254,020,635.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,347,955 : 820,116,701 = 820,116,701 : x
  2. Step 2: Convert to fraction form
    536,347,955/820,116,701 = 820,116,701/x
  3. Step 3: Cross multiply
    536,347,955x = 820,116,701 × 820,116,701
  4. Step 4: Simplify right side
    536,347,955x = 672,591,403,259,123,456
  5. Step 5: Solve for x
    x = 672,591,403,259,123,456/536,347,955
  6. Step 6: Final answer
    x = 1,254,020,635.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.