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Finding the Third Proportional to 5,775,792,642 and 12,658,842,612

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Solution

The third proportional to 5,775,792,642 and 12,658,842,612 is: 27,744,468,371.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775,792,642 : 12,658,842,612 = 12,658,842,612 : x
  2. Step 2: Convert to fraction form
    5,775,792,642/12,658,842,612 = 12,658,842,612/x
  3. Step 3: Cross multiply
    5,775,792,642x = 12,658,842,612 × 12,658,842,612
  4. Step 4: Simplify right side
    5,775,792,642x = 160,246,296,275,386,990,592
  5. Step 5: Solve for x
    x = 160,246,296,275,386,990,592/5,775,792,642
  6. Step 6: Final answer
    x = 27,744,468,371.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.