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Finding the Third Proportional to 1,156,515,754 and 1,761,877,120

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Solution

The third proportional to 1,156,515,754 and 1,761,877,120 is: 2,684,106,096.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156,515,754 : 1,761,877,120 = 1,761,877,120 : x
  2. Step 2: Convert to fraction form
    1,156,515,754/1,761,877,120 = 1,761,877,120/x
  3. Step 3: Cross multiply
    1,156,515,754x = 1,761,877,120 × 1,761,877,120
  4. Step 4: Simplify right side
    1,156,515,754x = 3,104,210,985,979,494,400
  5. Step 5: Solve for x
    x = 3,104,210,985,979,494,400/1,156,515,754
  6. Step 6: Final answer
    x = 2,684,106,096.47

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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.