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Finding the Third Proportional to 1,162,937,820 and 2,551,834,023

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Solution

The third proportional to 1,162,937,820 and 2,551,834,023 is: 5,599,488,441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162,937,820 : 2,551,834,023 = 2,551,834,023 : x
  2. Step 2: Convert to fraction form
    1,162,937,820/2,551,834,023 = 2,551,834,023/x
  3. Step 3: Cross multiply
    1,162,937,820x = 2,551,834,023 × 2,551,834,023
  4. Step 4: Simplify right side
    1,162,937,820x = 6,511,856,880,940,364,800
  5. Step 5: Solve for x
    x = 6,511,856,880,940,364,800/1,162,937,820
  6. Step 6: Final answer
    x = 5,599,488,441.21

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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.