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Finding the Third Proportional to 740,792,412 and 1,579,970,664

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Solution

The third proportional to 740,792,412 and 1,579,970,664 is: 3,369,779,790.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,792,412 : 1,579,970,664 = 1,579,970,664 : x
  2. Step 2: Convert to fraction form
    740,792,412/1,579,970,664 = 1,579,970,664/x
  3. Step 3: Cross multiply
    740,792,412x = 1,579,970,664 × 1,579,970,664
  4. Step 4: Simplify right side
    740,792,412x = 2,496,307,299,100,600,832
  5. Step 5: Solve for x
    x = 2,496,307,299,100,600,832/740,792,412
  6. Step 6: Final answer
    x = 3,369,779,790.75

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.