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Finding the Third Proportional to 1,215,764,945 and 2,867,111,466

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Solution

The third proportional to 1,215,764,945 and 2,867,111,466 is: 6,761,445,287.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215,764,945 : 2,867,111,466 = 2,867,111,466 : x
  2. Step 2: Convert to fraction form
    1,215,764,945/2,867,111,466 = 2,867,111,466/x
  3. Step 3: Cross multiply
    1,215,764,945x = 2,867,111,466 × 2,867,111,466
  4. Step 4: Simplify right side
    1,215,764,945x = 8,220,328,158,468,669,440
  5. Step 5: Solve for x
    x = 8,220,328,158,468,669,440/1,215,764,945
  6. Step 6: Final answer
    x = 6,761,445,287.82

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.