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Finding the Third Proportional to 1,569,255,468 and 3,388,145,532

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Solution

The third proportional to 1,569,255,468 and 3,388,145,532 is: 7,315,271,719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,255,468 : 3,388,145,532 = 3,388,145,532 : x
  2. Step 2: Convert to fraction form
    1,569,255,468/3,388,145,532 = 3,388,145,532/x
  3. Step 3: Cross multiply
    1,569,255,468x = 3,388,145,532 × 3,388,145,532
  4. Step 4: Simplify right side
    1,569,255,468x = 11,479,530,146,011,564,032
  5. Step 5: Solve for x
    x = 11,479,530,146,011,564,032/1,569,255,468
  6. Step 6: Final answer
    x = 7,315,271,719.68

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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.