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Finding the Third Proportional to 1,071,779,380 and 2,231,637,160

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Solution

The third proportional to 1,071,779,380 and 2,231,637,160 is: 4,646,669,367.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071,779,380 : 2,231,637,160 = 2,231,637,160 : x
  2. Step 2: Convert to fraction form
    1,071,779,380/2,231,637,160 = 2,231,637,160/x
  3. Step 3: Cross multiply
    1,071,779,380x = 2,231,637,160 × 2,231,637,160
  4. Step 4: Simplify right side
    1,071,779,380x = 4,980,204,413,892,866,048
  5. Step 5: Solve for x
    x = 4,980,204,413,892,866,048/1,071,779,380
  6. Step 6: Final answer
    x = 4,646,669,367.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.