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Finding the Third Proportional to 436,101,696 and 956,937,784

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Solution

The third proportional to 436,101,696 and 956,937,784 is: 2,099,808,211.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,101,696 : 956,937,784 = 956,937,784 : x
  2. Step 2: Convert to fraction form
    436,101,696/956,937,784 = 956,937,784/x
  3. Step 3: Cross multiply
    436,101,696x = 956,937,784 × 956,937,784
  4. Step 4: Simplify right side
    436,101,696x = 915,729,922,446,830,592
  5. Step 5: Solve for x
    x = 915,729,922,446,830,592/436,101,696
  6. Step 6: Final answer
    x = 2,099,808,211.81

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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.