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Finding the Third Proportional to 12,775,523,730 and 27,800,658,840

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Solution

The third proportional to 12,775,523,730 and 27,800,658,840 is: 60,496,669,120.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775,523,730 : 27,800,658,840 = 27,800,658,840 : x
  2. Step 2: Convert to fraction form
    12,775,523,730/27,800,658,840 = 27,800,658,840/x
  3. Step 3: Cross multiply
    12,775,523,730x = 27,800,658,840 × 27,800,658,840
  4. Step 4: Simplify right side
    12,775,523,730x = 772,876,631,938,070,085,632
  5. Step 5: Solve for x
    x = 772,876,631,938,070,085,632/12,775,523,730
  6. Step 6: Final answer
    x = 60,496,669,120.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.