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Finding the Third Proportional to 1,353,388,986 and 2,153,507,886

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Solution

The third proportional to 1,353,388,986 and 2,153,507,886 is: 3,426,654,319.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353,388,986 : 2,153,507,886 = 2,153,507,886 : x
  2. Step 2: Convert to fraction form
    1,353,388,986/2,153,507,886 = 2,153,507,886/x
  3. Step 3: Cross multiply
    1,353,388,986x = 2,153,507,886 × 2,153,507,886
  4. Step 4: Simplify right side
    1,353,388,986x = 4,637,596,215,064,188,928
  5. Step 5: Solve for x
    x = 4,637,596,215,064,188,928/1,353,388,986
  6. Step 6: Final answer
    x = 3,426,654,319.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.