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Finding the Third Proportional to 1,076,875,784 and 2,342,431,360

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Solution

The third proportional to 1,076,875,784 and 2,342,431,360 is: 5,095,280,957.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,875,784 : 2,342,431,360 = 2,342,431,360 : x
  2. Step 2: Convert to fraction form
    1,076,875,784/2,342,431,360 = 2,342,431,360/x
  3. Step 3: Cross multiply
    1,076,875,784x = 2,342,431,360 × 2,342,431,360
  4. Step 4: Simplify right side
    1,076,875,784x = 5,486,984,676,311,449,600
  5. Step 5: Solve for x
    x = 5,486,984,676,311,449,600/1,076,875,784
  6. Step 6: Final answer
    x = 5,095,280,957.97

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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.