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Finding the Third Proportional to 12,477,142,394 and 27,743,995,752

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Solution

The third proportional to 12,477,142,394 and 27,743,995,752 is: 61,691,152,988.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477,142,394 : 27,743,995,752 = 27,743,995,752 : x
  2. Step 2: Convert to fraction form
    12,477,142,394/27,743,995,752 = 27,743,995,752/x
  3. Step 3: Cross multiply
    12,477,142,394x = 27,743,995,752 × 27,743,995,752
  4. Step 4: Simplify right side
    12,477,142,394x = 769,729,300,286,993,989,632
  5. Step 5: Solve for x
    x = 769,729,300,286,993,989,632/12,477,142,394
  6. Step 6: Final answer
    x = 61,691,152,988.46

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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.