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Finding the Third Proportional to 535,870,212 and 1,149,275,497.50

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Solution

The third proportional to 535,870,212 and 1,149,275,497.50 is: 2,464,839,693.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,870,212 : 1,149,275,497.50 = 1,149,275,497.50 : x
  2. Step 2: Convert to fraction form
    535,870,212/1,149,275,497.50 = 1,149,275,497.50/x
  3. Step 3: Cross multiply
    535,870,212x = 1,149,275,497.50 × 1,149,275,497.50
  4. Step 4: Simplify right side
    535,870,212x = 1,320,834,169,153,872,384
  5. Step 5: Solve for x
    x = 1,320,834,169,153,872,384/535,870,212
  6. Step 6: Final answer
    x = 2,464,839,693.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.