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Finding the Third Proportional to 2,982,892,635 and 4,486,792,527

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Solution

The third proportional to 2,982,892,635 and 4,486,792,527 is: 6,748,921,145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982,892,635 : 4,486,792,527 = 4,486,792,527 : x
  2. Step 2: Convert to fraction form
    2,982,892,635/4,486,792,527 = 4,486,792,527/x
  3. Step 3: Cross multiply
    2,982,892,635x = 4,486,792,527 × 4,486,792,527
  4. Step 4: Simplify right side
    2,982,892,635x = 20,131,307,180,343,046,144
  5. Step 5: Solve for x
    x = 20,131,307,180,343,046,144/2,982,892,635
  6. Step 6: Final answer
    x = 6,748,921,145.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.