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Finding the Third Proportional to 1,020,051,740 and 2,162,685,357

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Solution

The third proportional to 1,020,051,740 and 2,162,685,357 is: 4,585,265,403.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020,051,740 : 2,162,685,357 = 2,162,685,357 : x
  2. Step 2: Convert to fraction form
    1,020,051,740/2,162,685,357 = 2,162,685,357/x
  3. Step 3: Cross multiply
    1,020,051,740x = 2,162,685,357 × 2,162,685,357
  4. Step 4: Simplify right side
    1,020,051,740x = 4,677,207,953,382,217,728
  5. Step 5: Solve for x
    x = 4,677,207,953,382,217,728/1,020,051,740
  6. Step 6: Final answer
    x = 4,585,265,403.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.