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Finding the Third Proportional to 455,305,368,415 and 1,012,410,518,798

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Solution

The third proportional to 455,305,368,415 and 1,012,410,518,798 is: 2,251,181,579,828.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,305,368,415 : 1,012,410,518,798 = 1,012,410,518,798 : x
  2. Step 2: Convert to fraction form
    455,305,368,415/1,012,410,518,798 = 1,012,410,518,798/x
  3. Step 3: Cross multiply
    455,305,368,415x = 1,012,410,518,798 × 1,012,410,518,798
  4. Step 4: Simplify right side
    455,305,368,415x = 1,024,975,058,572,835,578,445,824
  5. Step 5: Solve for x
    x = 1,024,975,058,572,835,578,445,824/455,305,368,415
  6. Step 6: Final answer
    x = 2,251,181,579,828.41

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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.