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Finding the Third Proportional to 12,834,570,282 and 27,435,438,855

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Solution

The third proportional to 12,834,570,282 and 27,435,438,855 is: 58,646,552,913.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834,570,282 : 27,435,438,855 = 27,435,438,855 : x
  2. Step 2: Convert to fraction form
    12,834,570,282/27,435,438,855 = 27,435,438,855/x
  3. Step 3: Cross multiply
    12,834,570,282x = 27,435,438,855 × 27,435,438,855
  4. Step 4: Simplify right side
    12,834,570,282x = 752,703,305,166,443,773,952
  5. Step 5: Solve for x
    x = 752,703,305,166,443,773,952/12,834,570,282
  6. Step 6: Final answer
    x = 58,646,552,913.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.