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Finding the Third Proportional to 460,924,006.50 and 1,013,784,710.63

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Solution

The third proportional to 460,924,006.50 and 1,013,784,710.63 is: 2,229,780,668.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,924,006.50 : 1,013,784,710.63 = 1,013,784,710.63 : x
  2. Step 2: Convert to fraction form
    460,924,006.50/1,013,784,710.63 = 1,013,784,710.63/x
  3. Step 3: Cross multiply
    460,924,006.50x = 1,013,784,710.63 × 1,013,784,710.63
  4. Step 4: Simplify right side
    460,924,006.50x = 1,027,759,439,497,015,040
  5. Step 5: Solve for x
    x = 1,027,759,439,497,015,040/460,924,006.50
  6. Step 6: Final answer
    x = 2,229,780,668.84

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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.