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Finding the Third Proportional to 15,590,012,224 and 32,006,498,341

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Solution

The third proportional to 15,590,012,224 and 32,006,498,341 is: 65,709,758,358.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,590,012,224 : 32,006,498,341 = 32,006,498,341 : x
  2. Step 2: Convert to fraction form
    15,590,012,224/32,006,498,341 = 32,006,498,341/x
  3. Step 3: Cross multiply
    15,590,012,224x = 32,006,498,341 × 32,006,498,341
  4. Step 4: Simplify right side
    15,590,012,224x = 1,024,415,936,052,435,746,816
  5. Step 5: Solve for x
    x = 1,024,415,936,052,435,746,816/15,590,012,224
  6. Step 6: Final answer
    x = 65,709,758,358.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.