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Finding the Third Proportional to 12,473,525,178 and 27,735,933,897

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Solution

The third proportional to 12,473,525,178 and 27,735,933,897 is: 61,673,185,259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,473,525,178 : 27,735,933,897 = 27,735,933,897 : x
  2. Step 2: Convert to fraction form
    12,473,525,178/27,735,933,897 = 27,735,933,897/x
  3. Step 3: Cross multiply
    12,473,525,178x = 27,735,933,897 × 27,735,933,897
  4. Step 4: Simplify right side
    12,473,525,178x = 769,282,029,138,753,617,920
  5. Step 5: Solve for x
    x = 769,282,029,138,753,617,920/12,473,525,178
  6. Step 6: Final answer
    x = 61,673,185,259.25

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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.