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Finding the Third Proportional to 460,924,016 and 1,013,784,732

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Solution

The third proportional to 460,924,016 and 1,013,784,732 is: 2,229,780,716.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,924,016 : 1,013,784,732 = 1,013,784,732 : x
  2. Step 2: Convert to fraction form
    460,924,016/1,013,784,732 = 1,013,784,732/x
  3. Step 3: Cross multiply
    460,924,016x = 1,013,784,732 × 1,013,784,732
  4. Step 4: Simplify right side
    460,924,016x = 1,027,759,482,836,311,808
  5. Step 5: Solve for x
    x = 1,027,759,482,836,311,808/460,924,016
  6. Step 6: Final answer
    x = 2,229,780,716.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.