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Finding the Third Proportional to 1,156,515,969 and 1,761,877,464

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Solution

The third proportional to 1,156,515,969 and 1,761,877,464 is: 2,684,106,645.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156,515,969 : 1,761,877,464 = 1,761,877,464 : x
  2. Step 2: Convert to fraction form
    1,156,515,969/1,761,877,464 = 1,761,877,464/x
  3. Step 3: Cross multiply
    1,156,515,969x = 1,761,877,464 × 1,761,877,464
  4. Step 4: Simplify right side
    1,156,515,969x = 3,104,212,198,151,071,232
  5. Step 5: Solve for x
    x = 3,104,212,198,151,071,232/1,156,515,969
  6. Step 6: Final answer
    x = 2,684,106,645.61

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.