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Finding the Third Proportional to 1,156,515,750 and 1,761,877,114

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Solution

The third proportional to 1,156,515,750 and 1,761,877,114 is: 2,684,106,087.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156,515,750 : 1,761,877,114 = 1,761,877,114 : x
  2. Step 2: Convert to fraction form
    1,156,515,750/1,761,877,114 = 1,761,877,114/x
  3. Step 3: Cross multiply
    1,156,515,750x = 1,761,877,114 × 1,761,877,114
  4. Step 4: Simplify right side
    1,156,515,750x = 3,104,210,964,836,968,960
  5. Step 5: Solve for x
    x = 3,104,210,964,836,968,960/1,156,515,750
  6. Step 6: Final answer
    x = 2,684,106,087.48

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Why These Related Problems?

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