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Finding the Third Proportional to 1,151,569,476 and 2,486,633,520

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Solution

The third proportional to 1,151,569,476 and 2,486,633,520 is: 5,369,494,756.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151,569,476 : 2,486,633,520 = 2,486,633,520 : x
  2. Step 2: Convert to fraction form
    1,151,569,476/2,486,633,520 = 2,486,633,520/x
  3. Step 3: Cross multiply
    1,151,569,476x = 2,486,633,520 × 2,486,633,520
  4. Step 4: Simplify right side
    1,151,569,476x = 6,183,346,262,787,590,144
  5. Step 5: Solve for x
    x = 6,183,346,262,787,590,144/1,151,569,476
  6. Step 6: Final answer
    x = 5,369,494,756.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.