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Finding the Third Proportional to 1,135,818,963 and 1,699,188,030

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Solution

The third proportional to 1,135,818,963 and 1,699,188,030 is: 2,541,989,573.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135,818,963 : 1,699,188,030 = 1,699,188,030 : x
  2. Step 2: Convert to fraction form
    1,135,818,963/1,699,188,030 = 1,699,188,030/x
  3. Step 3: Cross multiply
    1,135,818,963x = 1,699,188,030 × 1,699,188,030
  4. Step 4: Simplify right side
    1,135,818,963x = 2,887,239,961,295,281,152
  5. Step 5: Solve for x
    x = 2,887,239,961,295,281,152/1,135,818,963
  6. Step 6: Final answer
    x = 2,541,989,573.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.