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Finding the Third Proportional to 1,180,535,512 and 1,764,296,700

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Solution

The third proportional to 1,180,535,512 and 1,764,296,700 is: 2,636,721,059.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180,535,512 : 1,764,296,700 = 1,764,296,700 : x
  2. Step 2: Convert to fraction form
    1,180,535,512/1,764,296,700 = 1,764,296,700/x
  3. Step 3: Cross multiply
    1,180,535,512x = 1,764,296,700 × 1,764,296,700
  4. Step 4: Simplify right side
    1,180,535,512x = 3,112,742,845,630,889,984
  5. Step 5: Solve for x
    x = 3,112,742,845,630,889,984/1,180,535,512
  6. Step 6: Final answer
    x = 2,636,721,059.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.