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Finding the Third Proportional to 493,221,576.80 and 1,073,270,018.95

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Solution

The third proportional to 493,221,576.80 and 1,073,270,018.95 is: 2,335,478,794.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,221,576.80 : 1,073,270,018.95 = 1,073,270,018.95 : x
  2. Step 2: Convert to fraction form
    493,221,576.80/1,073,270,018.95 = 1,073,270,018.95/x
  3. Step 3: Cross multiply
    493,221,576.80x = 1,073,270,018.95 × 1,073,270,018.95
  4. Step 4: Simplify right side
    493,221,576.80x = 1,151,908,533,583,587,584
  5. Step 5: Solve for x
    x = 1,151,908,533,583,587,584/493,221,576.80
  6. Step 6: Final answer
    x = 2,335,478,794.47

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Why These Related Problems?

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