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Finding the Third Proportional to 573,836,162,949 and 1,328,465,891,196

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Solution

The third proportional to 573,836,162,949 and 1,328,465,891,196 is: 3,075,479,968,013.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,836,162,949 : 1,328,465,891,196 = 1,328,465,891,196 : x
  2. Step 2: Convert to fraction form
    573,836,162,949/1,328,465,891,196 = 1,328,465,891,196/x
  3. Step 3: Cross multiply
    573,836,162,949x = 1,328,465,891,196 × 1,328,465,891,196
  4. Step 4: Simplify right side
    573,836,162,949x = 1,764,821,624,071,182,404,812,800
  5. Step 5: Solve for x
    x = 1,764,821,624,071,182,404,812,800/573,836,162,949
  6. Step 6: Final answer
    x = 3,075,479,968,013.16

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.