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Finding the Third Proportional to 455,305,377,991.78 and 1,012,410,537,725

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Solution

The third proportional to 455,305,377,991.78 and 1,012,410,537,725 is: 2,251,181,616,649.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,305,377,991.78 : 1,012,410,537,725 = 1,012,410,537,725 : x
  2. Step 2: Convert to fraction form
    455,305,377,991.78/1,012,410,537,725 = 1,012,410,537,725/x
  3. Step 3: Cross multiply
    455,305,377,991.78x = 1,012,410,537,725 × 1,012,410,537,725
  4. Step 4: Simplify right side
    455,305,377,991.78x = 1,024,975,096,896,623,675,965,440
  5. Step 5: Solve for x
    x = 1,024,975,096,896,623,675,965,440/455,305,377,991.78
  6. Step 6: Final answer
    x = 2,251,181,616,649.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.