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Finding the Third Proportional to 288,022,536 and 621,081,072

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Solution

The third proportional to 288,022,536 and 621,081,072 is: 1,339,276,097.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,022,536 : 621,081,072 = 621,081,072 : x
  2. Step 2: Convert to fraction form
    288,022,536/621,081,072 = 621,081,072/x
  3. Step 3: Cross multiply
    288,022,536x = 621,081,072 × 621,081,072
  4. Step 4: Simplify right side
    288,022,536x = 385,741,697,996,669,184
  5. Step 5: Solve for x
    x = 385,741,697,996,669,184/288,022,536
  6. Step 6: Final answer
    x = 1,339,276,097.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.