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Finding the Third Proportional to 1,076,875,814 and 2,342,431,414

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Solution

The third proportional to 1,076,875,814 and 2,342,431,414 is: 5,095,281,050.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,875,814 : 2,342,431,414 = 2,342,431,414 : x
  2. Step 2: Convert to fraction form
    1,076,875,814/2,342,431,414 = 2,342,431,414/x
  3. Step 3: Cross multiply
    1,076,875,814x = 2,342,431,414 × 2,342,431,414
  4. Step 4: Simplify right side
    1,076,875,814x = 5,486,984,929,294,039,040
  5. Step 5: Solve for x
    x = 5,486,984,929,294,039,040/1,076,875,814
  6. Step 6: Final answer
    x = 5,095,281,050.94

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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.