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Finding the Third Proportional to 384,448,177.13 and 838,757,006.44

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Solution

The third proportional to 384,448,177.13 and 838,757,006.44 is: 1,829,930,164.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,448,177.13 : 838,757,006.44 = 838,757,006.44 : x
  2. Step 2: Convert to fraction form
    384,448,177.13/838,757,006.44 = 838,757,006.44/x
  3. Step 3: Cross multiply
    384,448,177.13x = 838,757,006.44 × 838,757,006.44
  4. Step 4: Simplify right side
    384,448,177.13x = 703,513,315,847,996,416
  5. Step 5: Solve for x
    x = 703,513,315,847,996,416/384,448,177.13
  6. Step 6: Final answer
    x = 1,829,930,164.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.