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Finding the Third Proportional to 1,884,689,858 and 4,143,248,460

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Solution

The third proportional to 1,884,689,858 and 4,143,248,460 is: 9,108,399,309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884,689,858 : 4,143,248,460 = 4,143,248,460 : x
  2. Step 2: Convert to fraction form
    1,884,689,858/4,143,248,460 = 4,143,248,460/x
  3. Step 3: Cross multiply
    1,884,689,858x = 4,143,248,460 × 4,143,248,460
  4. Step 4: Simplify right side
    1,884,689,858x = 17,166,507,801,292,371,968
  5. Step 5: Solve for x
    x = 17,166,507,801,292,371,968/1,884,689,858
  6. Step 6: Final answer
    x = 9,108,399,309.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.