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Finding the Third Proportional to 1,076,873,784 and 2,342,425,728

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Solution

The third proportional to 1,076,873,784 and 2,342,425,728 is: 5,095,265,919.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,873,784 : 2,342,425,728 = 2,342,425,728 : x
  2. Step 2: Convert to fraction form
    1,076,873,784/2,342,425,728 = 2,342,425,728/x
  3. Step 3: Cross multiply
    1,076,873,784x = 2,342,425,728 × 2,342,425,728
  4. Step 4: Simplify right side
    1,076,873,784x = 5,486,958,291,196,329,984
  5. Step 5: Solve for x
    x = 5,486,958,291,196,329,984/1,076,873,784
  6. Step 6: Final answer
    x = 5,095,265,919.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.