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Finding the Third Proportional to 1,784,305,152 and 3,865,159,056

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Solution

The third proportional to 1,784,305,152 and 3,865,159,056 is: 8,372,701,559.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784,305,152 : 3,865,159,056 = 3,865,159,056 : x
  2. Step 2: Convert to fraction form
    1,784,305,152/3,865,159,056 = 3,865,159,056/x
  3. Step 3: Cross multiply
    1,784,305,152x = 3,865,159,056 × 3,865,159,056
  4. Step 4: Simplify right side
    1,784,305,152x = 14,939,454,528,178,810,880
  5. Step 5: Solve for x
    x = 14,939,454,528,178,810,880/1,784,305,152
  6. Step 6: Final answer
    x = 8,372,701,559.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.