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Finding the Third Proportional to 637,681,621,548 and 1,405,343,069,744

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Solution

The third proportional to 637,681,621,548 and 1,405,343,069,744 is: 3,097,139,821,723.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,681,621,548 : 1,405,343,069,744 = 1,405,343,069,744 : x
  2. Step 2: Convert to fraction form
    637,681,621,548/1,405,343,069,744 = 1,405,343,069,744/x
  3. Step 3: Cross multiply
    637,681,621,548x = 1,405,343,069,744 × 1,405,343,069,744
  4. Step 4: Simplify right side
    637,681,621,548x = 1,974,989,143,677,489,249,255,424
  5. Step 5: Solve for x
    x = 1,974,989,143,677,489,249,255,424/637,681,621,548
  6. Step 6: Final answer
    x = 3,097,139,821,723.44

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