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Finding the Third Proportional to 1,375,295,244 and 2,968,387,320

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Solution

The third proportional to 1,375,295,244 and 2,968,387,320 is: 6,406,859,414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375,295,244 : 2,968,387,320 = 2,968,387,320 : x
  2. Step 2: Convert to fraction form
    1,375,295,244/2,968,387,320 = 2,968,387,320/x
  3. Step 3: Cross multiply
    1,375,295,244x = 2,968,387,320 × 2,968,387,320
  4. Step 4: Simplify right side
    1,375,295,244x = 8,811,323,281,536,782,336
  5. Step 5: Solve for x
    x = 8,811,323,281,536,782,336/1,375,295,244
  6. Step 6: Final answer
    x = 6,406,859,414.35

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