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Finding the Third Proportional to 665,474,880 and 1,034,502,709.50

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Solution

The third proportional to 665,474,880 and 1,034,502,709.50 is: 1,608,168,674.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,474,880 : 1,034,502,709.50 = 1,034,502,709.50 : x
  2. Step 2: Convert to fraction form
    665,474,880/1,034,502,709.50 = 1,034,502,709.50/x
  3. Step 3: Cross multiply
    665,474,880x = 1,034,502,709.50 × 1,034,502,709.50
  4. Step 4: Simplify right side
    665,474,880x = 1,070,195,855,962,841,344
  5. Step 5: Solve for x
    x = 1,070,195,855,962,841,344/665,474,880
  6. Step 6: Final answer
    x = 1,608,168,674.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.