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Finding the Third Proportional to 1,151,539,856 and 2,507,536,672

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Solution

The third proportional to 1,151,539,856 and 2,507,536,672 is: 5,460,288,785.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151,539,856 : 2,507,536,672 = 2,507,536,672 : x
  2. Step 2: Convert to fraction form
    1,151,539,856/2,507,536,672 = 2,507,536,672/x
  3. Step 3: Cross multiply
    1,151,539,856x = 2,507,536,672 × 2,507,536,672
  4. Step 4: Simplify right side
    1,151,539,856x = 6,287,740,161,424,835,584
  5. Step 5: Solve for x
    x = 6,287,740,161,424,835,584/1,151,539,856
  6. Step 6: Final answer
    x = 5,460,288,785.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.