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Finding the Third Proportional to 637,681,621,544 and 1,405,343,069,736

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Solution

The third proportional to 637,681,621,544 and 1,405,343,069,736 is: 3,097,139,821,707.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,681,621,544 : 1,405,343,069,736 = 1,405,343,069,736 : x
  2. Step 2: Convert to fraction form
    637,681,621,544/1,405,343,069,736 = 1,405,343,069,736/x
  3. Step 3: Cross multiply
    637,681,621,544x = 1,405,343,069,736 × 1,405,343,069,736
  4. Step 4: Simplify right side
    637,681,621,544x = 1,974,989,143,655,003,753,283,584
  5. Step 5: Solve for x
    x = 1,974,989,143,655,003,753,283,584/637,681,621,544
  6. Step 6: Final answer
    x = 3,097,139,821,707.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.