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Finding the Third Proportional to 611,633,022,624 and 850,426,828,416

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Solution

The third proportional to 611,633,022,624 and 850,426,828,416 is: 1,182,450,527,911.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,633,022,624 : 850,426,828,416 = 850,426,828,416 : x
  2. Step 2: Convert to fraction form
    611,633,022,624/850,426,828,416 = 850,426,828,416/x
  3. Step 3: Cross multiply
    611,633,022,624x = 850,426,828,416 × 850,426,828,416
  4. Step 4: Simplify right side
    611,633,022,624x = 723,225,790,489,696,713,834,496
  5. Step 5: Solve for x
    x = 723,225,790,489,696,713,834,496/611,633,022,624
  6. Step 6: Final answer
    x = 1,182,450,527,911.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.