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Finding the Third Proportional to 1,525,052,546 and 3,291,969,796

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Solution

The third proportional to 1,525,052,546 and 3,291,969,796 is: 7,106,027,373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525,052,546 : 3,291,969,796 = 3,291,969,796 : x
  2. Step 2: Convert to fraction form
    1,525,052,546/3,291,969,796 = 3,291,969,796/x
  3. Step 3: Cross multiply
    1,525,052,546x = 3,291,969,796 × 3,291,969,796
  4. Step 4: Simplify right side
    1,525,052,546x = 10,837,065,137,776,281,600
  5. Step 5: Solve for x
    x = 10,837,065,137,776,281,600/1,525,052,546
  6. Step 6: Final answer
    x = 7,106,027,373.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.