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Finding the Third Proportional to 16,250,489,570 and 22,884,270,267

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Solution

The third proportional to 16,250,489,570 and 22,884,270,267 is: 32,226,095,306.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,250,489,570 : 22,884,270,267 = 22,884,270,267 : x
  2. Step 2: Convert to fraction form
    16,250,489,570/22,884,270,267 = 22,884,270,267/x
  3. Step 3: Cross multiply
    16,250,489,570x = 22,884,270,267 × 22,884,270,267
  4. Step 4: Simplify right side
    16,250,489,570x = 523,689,825,653,100,249,088
  5. Step 5: Solve for x
    x = 523,689,825,653,100,249,088/16,250,489,570
  6. Step 6: Final answer
    x = 32,226,095,306.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.