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Finding the Third Proportional to 10,968,097,756 and 16,709,138,250

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Solution

The third proportional to 10,968,097,756 and 16,709,138,250 is: 25,455,216,325.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,968,097,756 : 16,709,138,250 = 16,709,138,250 : x
  2. Step 2: Convert to fraction form
    10,968,097,756/16,709,138,250 = 16,709,138,250/x
  3. Step 3: Cross multiply
    10,968,097,756x = 16,709,138,250 × 16,709,138,250
  4. Step 4: Simplify right side
    10,968,097,756x = 279,195,301,057,613,070,336
  5. Step 5: Solve for x
    x = 279,195,301,057,613,070,336/10,968,097,756
  6. Step 6: Final answer
    x = 25,455,216,325.45

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.