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Finding the Third Proportional to 436,038,702 and 956,825,844

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Solution

The third proportional to 436,038,702 and 956,825,844 is: 2,099,620,266.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,038,702 : 956,825,844 = 956,825,844 : x
  2. Step 2: Convert to fraction form
    436,038,702/956,825,844 = 956,825,844/x
  3. Step 3: Cross multiply
    436,038,702x = 956,825,844 × 956,825,844
  4. Step 4: Simplify right side
    436,038,702x = 915,515,695,746,312,320
  5. Step 5: Solve for x
    x = 915,515,695,746,312,320/436,038,702
  6. Step 6: Final answer
    x = 2,099,620,266.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.