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Finding the Third Proportional to 496,584,008.33 and 1,064,465,184.87

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Solution

The third proportional to 496,584,008.33 and 1,064,465,184.87 is: 2,281,761,214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,584,008.33 : 1,064,465,184.87 = 1,064,465,184.87 : x
  2. Step 2: Convert to fraction form
    496,584,008.33/1,064,465,184.87 = 1,064,465,184.87/x
  3. Step 3: Cross multiply
    496,584,008.33x = 1,064,465,184.87 × 1,064,465,184.87
  4. Step 4: Simplify right side
    496,584,008.33x = 1,133,086,129,794,149,376
  5. Step 5: Solve for x
    x = 1,133,086,129,794,149,376/496,584,008.33
  6. Step 6: Final answer
    x = 2,281,761,214.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.