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Finding the Third Proportional to 436,101,678.84 and 956,937,751.31

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Solution

The third proportional to 436,101,678.84 and 956,937,751.31 is: 2,099,808,150.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,101,678.84 : 956,937,751.31 = 956,937,751.31 : x
  2. Step 2: Convert to fraction form
    436,101,678.84/956,937,751.31 = 956,937,751.31/x
  3. Step 3: Cross multiply
    436,101,678.84x = 956,937,751.31 × 956,937,751.31
  4. Step 4: Simplify right side
    436,101,678.84x = 915,729,859,887,024,128
  5. Step 5: Solve for x
    x = 915,729,859,887,024,128/436,101,678.84
  6. Step 6: Final answer
    x = 2,099,808,150.97

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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.