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Finding the Third Proportional to 29,075,523,210 and 63,245,380,797

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Solution

The third proportional to 29,075,523,210 and 63,245,380,797 is: 137,572,010,768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,075,523,210 : 63,245,380,797 = 63,245,380,797 : x
  2. Step 2: Convert to fraction form
    29,075,523,210/63,245,380,797 = 63,245,380,797/x
  3. Step 3: Cross multiply
    29,075,523,210x = 63,245,380,797 × 63,245,380,797
  4. Step 4: Simplify right side
    29,075,523,210x = 3,999,978,192,157,536,157,696
  5. Step 5: Solve for x
    x = 3,999,978,192,157,536,157,696/29,075,523,210
  6. Step 6: Final answer
    x = 137,572,010,768.90

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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.