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Finding the Third Proportional to 484,141,183,686 and 1,059,483,953,832

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Solution

The third proportional to 484,141,183,686 and 1,059,483,953,832 is: 2,318,551,460,301.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,141,183,686 : 1,059,483,953,832 = 1,059,483,953,832 : x
  2. Step 2: Convert to fraction form
    484,141,183,686/1,059,483,953,832 = 1,059,483,953,832/x
  3. Step 3: Cross multiply
    484,141,183,686x = 1,059,483,953,832 × 1,059,483,953,832
  4. Step 4: Simplify right side
    484,141,183,686x = 1,122,506,248,427,487,537,135,616
  5. Step 5: Solve for x
    x = 1,122,506,248,427,487,537,135,616/484,141,183,686
  6. Step 6: Final answer
    x = 2,318,551,460,301.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.