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Finding the Third Proportional to 634,810,384 and 1,375,556,120

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Solution

The third proportional to 634,810,384 and 1,375,556,120 is: 2,980,661,134.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,810,384 : 1,375,556,120 = 1,375,556,120 : x
  2. Step 2: Convert to fraction form
    634,810,384/1,375,556,120 = 1,375,556,120/x
  3. Step 3: Cross multiply
    634,810,384x = 1,375,556,120 × 1,375,556,120
  4. Step 4: Simplify right side
    634,810,384x = 1,892,154,639,269,454,336
  5. Step 5: Solve for x
    x = 1,892,154,639,269,454,336/634,810,384
  6. Step 6: Final answer
    x = 2,980,661,134.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.