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Finding the Third Proportional to 1,006,165,640 and 1,599,949,018

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Solution

The third proportional to 1,006,165,640 and 1,599,949,018 is: 2,544,150,543.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006,165,640 : 1,599,949,018 = 1,599,949,018 : x
  2. Step 2: Convert to fraction form
    1,006,165,640/1,599,949,018 = 1,599,949,018/x
  3. Step 3: Cross multiply
    1,006,165,640x = 1,599,949,018 × 1,599,949,018
  4. Step 4: Simplify right side
    1,006,165,640x = 2,559,836,860,199,164,416
  5. Step 5: Solve for x
    x = 2,559,836,860,199,164,416/1,006,165,640
  6. Step 6: Final answer
    x = 2,544,150,543.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.