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Finding the Third Proportional to 435,406,653 and 940,078,026

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Solution

The third proportional to 435,406,653 and 940,078,026 is: 2,029,704,160.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,406,653 : 940,078,026 = 940,078,026 : x
  2. Step 2: Convert to fraction form
    435,406,653/940,078,026 = 940,078,026/x
  3. Step 3: Cross multiply
    435,406,653x = 940,078,026 × 940,078,026
  4. Step 4: Simplify right side
    435,406,653x = 883,746,694,968,056,704
  5. Step 5: Solve for x
    x = 883,746,694,968,056,704/435,406,653
  6. Step 6: Final answer
    x = 2,029,704,160.19

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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.