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Finding the Third Proportional to 460,923,995.10 and 1,013,784,688.28

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Solution

The third proportional to 460,923,995.10 and 1,013,784,688.28 is: 2,229,780,625.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,923,995.10 : 1,013,784,688.28 = 1,013,784,688.28 : x
  2. Step 2: Convert to fraction form
    460,923,995.10/1,013,784,688.28 = 1,013,784,688.28/x
  3. Step 3: Cross multiply
    460,923,995.10x = 1,013,784,688.28 × 1,013,784,688.28
  4. Step 4: Simplify right side
    460,923,995.10x = 1,027,759,394,188,746,496
  5. Step 5: Solve for x
    x = 1,027,759,394,188,746,496/460,923,995.10
  6. Step 6: Final answer
    x = 2,229,780,625.67

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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.