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Finding the Third Proportional to 435,406,652 and 940,078,024

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Solution

The third proportional to 435,406,652 and 940,078,024 is: 2,029,704,156.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,406,652 : 940,078,024 = 940,078,024 : x
  2. Step 2: Convert to fraction form
    435,406,652/940,078,024 = 940,078,024/x
  3. Step 3: Cross multiply
    435,406,652x = 940,078,024 × 940,078,024
  4. Step 4: Simplify right side
    435,406,652x = 883,746,691,207,744,512
  5. Step 5: Solve for x
    x = 883,746,691,207,744,512/435,406,652
  6. Step 6: Final answer
    x = 2,029,704,156.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.